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I ~~il50 (~~tt~~25il~f-~ li1troo7i~~f ~~J ) 1 ( ) 2 ( ) 3 ( ) 4 ( ) 5 ( )

6 ( ) 7 ( ) 8 ( ) 9 ( ) 10( )

11 ( ) 12 ( ) 13( ) 14( ) 15( )

16 ( ) 17 ( ) 18 ( ) 19( ) 20 ( )

21 ( ) 22 ( ) 23( ) 24( ) 25( )

1 Hiring a well known musical artist to represent your product in the soft drink market is an example of which strategy A Cost leadership strategy B Dilferentiation strategy C Innovation strategy D Growth strategy

2 Wal-Mart has expanded from a few simple retail outlets to nationwide Super Wal-Mart stores with pharmacies and grocery departments This is an example of which strategy A Cost leadership strategy B Differentiation strategy C Innovation strategy D Growth strategy

3 All of the following are basic competitive strategies discussed in MIS text except J Cost leadership I3 Innovation C Product differentiation D Strategic dominance

4 A sales company such as eBay would be most likely to use information technology to promote ______

A online stock trading B point-of-sale inventory tracking C online auctions D virtual manufacturing alliances

5 When a firm strives to find ways to help its suppliers and customers reduce their costs or to increase the costs of their competitors it is pursuing a strategy of ____--- A innovation I3 alliance C cost leadership D growth

6 A customer-focused business can build customer value and loyalty by A Making a loyal customer feel special with website personalization B Letting customers place orders directly or through distribution partners C Letting customers check order history and delivery status D All of the choices are correct

ffiJt1f f4E1 Jtm1f~~MB

7 A finn that focuses on customer value A Recognizes that price rather than quality has become the primary determinant in a customers perception of value R Anticipates future customer needs and responds to customer concerns C Provides better-than-average customer service D None of the choices is correct

8 Business process reengineering is best defined as A A key technology to reduce customer late payments B A radical redesign of business processes to achieve improvements in cost quality speed or service C A key way to ensure successful improvement in processing D All of the choices are correct

9 An agile company supports by offering individualized products while maintaining high volumes of production A high growth B mass customization C its suppliers and competitors D All of the choices are correct

10 A virtual company A Uses IT to link people organizations assets and ideas B Creates virtual workgroups and alliances to exploit fast-changing business opportunities C Uses the Internet intranets and extranets to support alliances with manufacturers D All of the choices are correct

11 A(n) is a standard set of rules and procedures for the control of communication in a network A amplification 13 algorithm C protocols D transponders

12 The layer in an OSI model provides communications services for end users A application B data link C network D transport

13 Communications channels such as microwave fiber optics or satellite transmission that provide high-speed transmission rates typically use channels A broadband B narrow-band C wireless D voice-band

14 VoIP works by digitizing a voice signal chopping it into and then sending them over a companys computer network or the Internet much like data or email A bits B packets C characters D waves

pff

f413 Jl~7Vlf~~1lll

15 Electronic mail voice mail faxing Web publishing bulletin board systems and paging are considered tools A electronic communication B collaborative work management C electronic conferencing D All of the choices are correct

16 Marketing information systems can help marketing managers with A Customer relationship management B Product planning and pricing C Targeted marketing strategies D All of the choices are correct

17 Advertising strategies based on a variety oftracking techniques such as Web cookies is an example of which targeted marketing component A Context B Content C Community D Online behavior

18 When a manufacturer automates production of a product by installing computer systems to monitor processes and robots to do some of the assembly tasks it is an example of

1 computer integrated manufacturing B computer-aided manufacturing C process control D task control

19 Which of the following statements most accurately describes the strategic level of management A Composed of a board ofdirectors and an executive committee ofthe CEO and top executives who develop overall organizational goals strategies policies and objectives as part of a strategic planning process B Composed of self-directed teams and middle managers who develop short-and medium-range plans schedules and budgets C Composed of self-directed teams or supervisory managers who develop short-range plans according to procedures and within the budgets and schedules established for the teams and other workgroups of the organization D None of the choices are correct

20 Business intelligence applications are based on all of the following except A Personalized and Web-enabled information analysis B Knowledge management C Rapid information input processes D Decision support technologies

21 An intelligent agent is A A software surrogate that accomplishes specific tasks for users B Database software used to analyze current sales trends C A marketing software system used to do statistical analysis D A software package used by robots

f5lT ~ f4El WI~JI~ffifH

22 Which of the following is an example of an intangible cost A Employee salaries B Loss of customer goodwill C Reduced inventory-carrying costs D Improved customer service

23 User interface design refers to the development of A Programs and procedures to be used by end-users B Display screens forms and reports and interactive computer user dialogs C User training manuals D The structure of databases and files accessible by end users

24 The chief information officer is a(n) level IT manager A tactical B strategic C operational D departmental

25 Which of the following is the number one reason that companies outsource A Reduce and control operating costs B Accelerate re-engineering benefits C Gain access to world-class capabilities D Share risks

AI What are Server Farms Virtualization Cloud computing Edge computing and

Autonomic computing (10)

A2 You are the chief information officer (CIO) of a small company with a rapidly

growing customer base You are considering using one of the following kinds of

CRM systems on-premise on-demand and open-source Describe and discuss

the pros and cons of each type of CRM system for your business (10)

A3 There are four major threats to wireless networks rouge access points war

driving eavesdropping and RF jamming Describe each of them and analyze

which of these threats is the most dangerous for a business and which is the

most dangerous for an individual (12)

A4 Define enterprise storage and describe the various types of enterprise storage

(8)

AS Describe three alternate methods that can be used for systems development other

than SDLC and prototyping (10)

~PJT ~~~

f4 EI ~~ki6~(2)

f)1Uraquof)-~fi~)t~~tEEI$)1urpra~1mA-~fJJlfJi ltgt (1W~~fJJlIim

NEW tiX1mA(pound Pointer fJJlIizJ~) (3 5t)

(a) Next [NEW] =Pointer

Pointer =NEW

(b) Pointer =NEW

Next [NEW] =Pointer

(c) Next [NEW] =Next [pointer]

Next [pointer] = NEW

(d) Next [pointer] =Next [NEW]

Next [NEW] =Pointer

(e) ~jJW~P

f)1Uraquof)-~fi~)t~~J~EI$)1urprdJfJJlti ltgt (1W~tlXfllJljMtfJJfJim

Pointer Back miW-~fJJlfJi -1 ~7Jm~YJ) (3 7t) (a) Next [pointer] = -1

(b) Next [Back] = -1

(c) Back =Next [Pointer]

Next [pointer] = -1

(d) Next [Back] =Next [pointer]

Next [pointer] =-1

(e) ~jJW~F

fl-~~iIm~tlDf (155t)

int Maze (int a int b int c)

if(a lt b)

return a

else

return laquoa b) + c Maze (alb b c))

ltItgtilif)1U~~Ilyent1~~~zm1i~11I Q

(a) Maze (1020 10 7) =

(b) Maze (352 4 11) =

(c) Maze (16 2 2)=

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

ffiJt1f f4E1 Jtm1f~~MB

7 A finn that focuses on customer value A Recognizes that price rather than quality has become the primary determinant in a customers perception of value R Anticipates future customer needs and responds to customer concerns C Provides better-than-average customer service D None of the choices is correct

8 Business process reengineering is best defined as A A key technology to reduce customer late payments B A radical redesign of business processes to achieve improvements in cost quality speed or service C A key way to ensure successful improvement in processing D All of the choices are correct

9 An agile company supports by offering individualized products while maintaining high volumes of production A high growth B mass customization C its suppliers and competitors D All of the choices are correct

10 A virtual company A Uses IT to link people organizations assets and ideas B Creates virtual workgroups and alliances to exploit fast-changing business opportunities C Uses the Internet intranets and extranets to support alliances with manufacturers D All of the choices are correct

11 A(n) is a standard set of rules and procedures for the control of communication in a network A amplification 13 algorithm C protocols D transponders

12 The layer in an OSI model provides communications services for end users A application B data link C network D transport

13 Communications channels such as microwave fiber optics or satellite transmission that provide high-speed transmission rates typically use channels A broadband B narrow-band C wireless D voice-band

14 VoIP works by digitizing a voice signal chopping it into and then sending them over a companys computer network or the Internet much like data or email A bits B packets C characters D waves

pff

f413 Jl~7Vlf~~1lll

15 Electronic mail voice mail faxing Web publishing bulletin board systems and paging are considered tools A electronic communication B collaborative work management C electronic conferencing D All of the choices are correct

16 Marketing information systems can help marketing managers with A Customer relationship management B Product planning and pricing C Targeted marketing strategies D All of the choices are correct

17 Advertising strategies based on a variety oftracking techniques such as Web cookies is an example of which targeted marketing component A Context B Content C Community D Online behavior

18 When a manufacturer automates production of a product by installing computer systems to monitor processes and robots to do some of the assembly tasks it is an example of

1 computer integrated manufacturing B computer-aided manufacturing C process control D task control

19 Which of the following statements most accurately describes the strategic level of management A Composed of a board ofdirectors and an executive committee ofthe CEO and top executives who develop overall organizational goals strategies policies and objectives as part of a strategic planning process B Composed of self-directed teams and middle managers who develop short-and medium-range plans schedules and budgets C Composed of self-directed teams or supervisory managers who develop short-range plans according to procedures and within the budgets and schedules established for the teams and other workgroups of the organization D None of the choices are correct

20 Business intelligence applications are based on all of the following except A Personalized and Web-enabled information analysis B Knowledge management C Rapid information input processes D Decision support technologies

21 An intelligent agent is A A software surrogate that accomplishes specific tasks for users B Database software used to analyze current sales trends C A marketing software system used to do statistical analysis D A software package used by robots

f5lT ~ f4El WI~JI~ffifH

22 Which of the following is an example of an intangible cost A Employee salaries B Loss of customer goodwill C Reduced inventory-carrying costs D Improved customer service

23 User interface design refers to the development of A Programs and procedures to be used by end-users B Display screens forms and reports and interactive computer user dialogs C User training manuals D The structure of databases and files accessible by end users

24 The chief information officer is a(n) level IT manager A tactical B strategic C operational D departmental

25 Which of the following is the number one reason that companies outsource A Reduce and control operating costs B Accelerate re-engineering benefits C Gain access to world-class capabilities D Share risks

AI What are Server Farms Virtualization Cloud computing Edge computing and

Autonomic computing (10)

A2 You are the chief information officer (CIO) of a small company with a rapidly

growing customer base You are considering using one of the following kinds of

CRM systems on-premise on-demand and open-source Describe and discuss

the pros and cons of each type of CRM system for your business (10)

A3 There are four major threats to wireless networks rouge access points war

driving eavesdropping and RF jamming Describe each of them and analyze

which of these threats is the most dangerous for a business and which is the

most dangerous for an individual (12)

A4 Define enterprise storage and describe the various types of enterprise storage

(8)

AS Describe three alternate methods that can be used for systems development other

than SDLC and prototyping (10)

~PJT ~~~

f4 EI ~~ki6~(2)

f)1Uraquof)-~fi~)t~~tEEI$)1urpra~1mA-~fJJlfJi ltgt (1W~~fJJlIim

NEW tiX1mA(pound Pointer fJJlIizJ~) (3 5t)

(a) Next [NEW] =Pointer

Pointer =NEW

(b) Pointer =NEW

Next [NEW] =Pointer

(c) Next [NEW] =Next [pointer]

Next [pointer] = NEW

(d) Next [pointer] =Next [NEW]

Next [NEW] =Pointer

(e) ~jJW~P

f)1Uraquof)-~fi~)t~~J~EI$)1urprdJfJJlti ltgt (1W~tlXfllJljMtfJJfJim

Pointer Back miW-~fJJlfJi -1 ~7Jm~YJ) (3 7t) (a) Next [pointer] = -1

(b) Next [Back] = -1

(c) Back =Next [Pointer]

Next [pointer] = -1

(d) Next [Back] =Next [pointer]

Next [pointer] =-1

(e) ~jJW~F

fl-~~iIm~tlDf (155t)

int Maze (int a int b int c)

if(a lt b)

return a

else

return laquoa b) + c Maze (alb b c))

ltItgtilif)1U~~Ilyent1~~~zm1i~11I Q

(a) Maze (1020 10 7) =

(b) Maze (352 4 11) =

(c) Maze (16 2 2)=

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

pff

f413 Jl~7Vlf~~1lll

15 Electronic mail voice mail faxing Web publishing bulletin board systems and paging are considered tools A electronic communication B collaborative work management C electronic conferencing D All of the choices are correct

16 Marketing information systems can help marketing managers with A Customer relationship management B Product planning and pricing C Targeted marketing strategies D All of the choices are correct

17 Advertising strategies based on a variety oftracking techniques such as Web cookies is an example of which targeted marketing component A Context B Content C Community D Online behavior

18 When a manufacturer automates production of a product by installing computer systems to monitor processes and robots to do some of the assembly tasks it is an example of

1 computer integrated manufacturing B computer-aided manufacturing C process control D task control

19 Which of the following statements most accurately describes the strategic level of management A Composed of a board ofdirectors and an executive committee ofthe CEO and top executives who develop overall organizational goals strategies policies and objectives as part of a strategic planning process B Composed of self-directed teams and middle managers who develop short-and medium-range plans schedules and budgets C Composed of self-directed teams or supervisory managers who develop short-range plans according to procedures and within the budgets and schedules established for the teams and other workgroups of the organization D None of the choices are correct

20 Business intelligence applications are based on all of the following except A Personalized and Web-enabled information analysis B Knowledge management C Rapid information input processes D Decision support technologies

21 An intelligent agent is A A software surrogate that accomplishes specific tasks for users B Database software used to analyze current sales trends C A marketing software system used to do statistical analysis D A software package used by robots

f5lT ~ f4El WI~JI~ffifH

22 Which of the following is an example of an intangible cost A Employee salaries B Loss of customer goodwill C Reduced inventory-carrying costs D Improved customer service

23 User interface design refers to the development of A Programs and procedures to be used by end-users B Display screens forms and reports and interactive computer user dialogs C User training manuals D The structure of databases and files accessible by end users

24 The chief information officer is a(n) level IT manager A tactical B strategic C operational D departmental

25 Which of the following is the number one reason that companies outsource A Reduce and control operating costs B Accelerate re-engineering benefits C Gain access to world-class capabilities D Share risks

AI What are Server Farms Virtualization Cloud computing Edge computing and

Autonomic computing (10)

A2 You are the chief information officer (CIO) of a small company with a rapidly

growing customer base You are considering using one of the following kinds of

CRM systems on-premise on-demand and open-source Describe and discuss

the pros and cons of each type of CRM system for your business (10)

A3 There are four major threats to wireless networks rouge access points war

driving eavesdropping and RF jamming Describe each of them and analyze

which of these threats is the most dangerous for a business and which is the

most dangerous for an individual (12)

A4 Define enterprise storage and describe the various types of enterprise storage

(8)

AS Describe three alternate methods that can be used for systems development other

than SDLC and prototyping (10)

~PJT ~~~

f4 EI ~~ki6~(2)

f)1Uraquof)-~fi~)t~~tEEI$)1urpra~1mA-~fJJlfJi ltgt (1W~~fJJlIim

NEW tiX1mA(pound Pointer fJJlIizJ~) (3 5t)

(a) Next [NEW] =Pointer

Pointer =NEW

(b) Pointer =NEW

Next [NEW] =Pointer

(c) Next [NEW] =Next [pointer]

Next [pointer] = NEW

(d) Next [pointer] =Next [NEW]

Next [NEW] =Pointer

(e) ~jJW~P

f)1Uraquof)-~fi~)t~~J~EI$)1urprdJfJJlti ltgt (1W~tlXfllJljMtfJJfJim

Pointer Back miW-~fJJlfJi -1 ~7Jm~YJ) (3 7t) (a) Next [pointer] = -1

(b) Next [Back] = -1

(c) Back =Next [Pointer]

Next [pointer] = -1

(d) Next [Back] =Next [pointer]

Next [pointer] =-1

(e) ~jJW~F

fl-~~iIm~tlDf (155t)

int Maze (int a int b int c)

if(a lt b)

return a

else

return laquoa b) + c Maze (alb b c))

ltItgtilif)1U~~Ilyent1~~~zm1i~11I Q

(a) Maze (1020 10 7) =

(b) Maze (352 4 11) =

(c) Maze (16 2 2)=

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

f5lT ~ f4El WI~JI~ffifH

22 Which of the following is an example of an intangible cost A Employee salaries B Loss of customer goodwill C Reduced inventory-carrying costs D Improved customer service

23 User interface design refers to the development of A Programs and procedures to be used by end-users B Display screens forms and reports and interactive computer user dialogs C User training manuals D The structure of databases and files accessible by end users

24 The chief information officer is a(n) level IT manager A tactical B strategic C operational D departmental

25 Which of the following is the number one reason that companies outsource A Reduce and control operating costs B Accelerate re-engineering benefits C Gain access to world-class capabilities D Share risks

AI What are Server Farms Virtualization Cloud computing Edge computing and

Autonomic computing (10)

A2 You are the chief information officer (CIO) of a small company with a rapidly

growing customer base You are considering using one of the following kinds of

CRM systems on-premise on-demand and open-source Describe and discuss

the pros and cons of each type of CRM system for your business (10)

A3 There are four major threats to wireless networks rouge access points war

driving eavesdropping and RF jamming Describe each of them and analyze

which of these threats is the most dangerous for a business and which is the

most dangerous for an individual (12)

A4 Define enterprise storage and describe the various types of enterprise storage

(8)

AS Describe three alternate methods that can be used for systems development other

than SDLC and prototyping (10)

~PJT ~~~

f4 EI ~~ki6~(2)

f)1Uraquof)-~fi~)t~~tEEI$)1urpra~1mA-~fJJlfJi ltgt (1W~~fJJlIim

NEW tiX1mA(pound Pointer fJJlIizJ~) (3 5t)

(a) Next [NEW] =Pointer

Pointer =NEW

(b) Pointer =NEW

Next [NEW] =Pointer

(c) Next [NEW] =Next [pointer]

Next [pointer] = NEW

(d) Next [pointer] =Next [NEW]

Next [NEW] =Pointer

(e) ~jJW~P

f)1Uraquof)-~fi~)t~~J~EI$)1urprdJfJJlti ltgt (1W~tlXfllJljMtfJJfJim

Pointer Back miW-~fJJlfJi -1 ~7Jm~YJ) (3 7t) (a) Next [pointer] = -1

(b) Next [Back] = -1

(c) Back =Next [Pointer]

Next [pointer] = -1

(d) Next [Back] =Next [pointer]

Next [pointer] =-1

(e) ~jJW~F

fl-~~iIm~tlDf (155t)

int Maze (int a int b int c)

if(a lt b)

return a

else

return laquoa b) + c Maze (alb b c))

ltItgtilif)1U~~Ilyent1~~~zm1i~11I Q

(a) Maze (1020 10 7) =

(b) Maze (352 4 11) =

(c) Maze (16 2 2)=

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

~PJT ~~~

f4 EI ~~ki6~(2)

f)1Uraquof)-~fi~)t~~tEEI$)1urpra~1mA-~fJJlfJi ltgt (1W~~fJJlIim

NEW tiX1mA(pound Pointer fJJlIizJ~) (3 5t)

(a) Next [NEW] =Pointer

Pointer =NEW

(b) Pointer =NEW

Next [NEW] =Pointer

(c) Next [NEW] =Next [pointer]

Next [pointer] = NEW

(d) Next [pointer] =Next [NEW]

Next [NEW] =Pointer

(e) ~jJW~P

f)1Uraquof)-~fi~)t~~J~EI$)1urprdJfJJlti ltgt (1W~tlXfllJljMtfJJfJim

Pointer Back miW-~fJJlfJi -1 ~7Jm~YJ) (3 7t) (a) Next [pointer] = -1

(b) Next [Back] = -1

(c) Back =Next [Pointer]

Next [pointer] = -1

(d) Next [Back] =Next [pointer]

Next [pointer] =-1

(e) ~jJW~F

fl-~~iIm~tlDf (155t)

int Maze (int a int b int c)

if(a lt b)

return a

else

return laquoa b) + c Maze (alb b c))

ltItgtilif)1U~~Ilyent1~~~zm1i~11I Q

(a) Maze (1020 10 7) =

(b) Maze (352 4 11) =

(c) Maze (16 2 2)=

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

~PJT ji~~

f4sect jilEfM(2)

Ii ~~~-r)1UiltJt~1I (6 5)

(a) lWJyen~~Jt 7 6 - 8 2 1

(b) fampJyen)i~Jt 5 7 6 8 2 + 5 -

t -reg~fl-~7U ttJ~flll fl~HllUI ~tm=~1J~~J1ampffi~~ ~~~~m~m-~~~n~~~lli~~1l~lli~$~m5~lliUl mf~ilim=~~~nHIt~llHIampm=X~~~HIt~llUI (85)0

-t mti5]JU~t~-r)1Um~~Jt~ Big-O (105)

m-Jt n2 +lO loo n n

m=Jt Li2

=1

J w-r)1UmftftiI1F~~(AOVActivity On Vertex Network))ifTffi~~FJyen

(Topology Sort) IlJfm~~fll1J~~ (10 5)

2 4 4 7

7

5

fL Insert the integers 1 to 8 into an empty max-heap Draw the step-by-step

process (10 5)

+ Let Ybe a pre-defined constant and A be an array declared as follows

var A array[1159 1Y] of integer

Assume that A is stored in row major order in the main memory and each

integer needs two bytes If A[4 5] is stored at address 2012 and A[l11 12] is

stored at address 2940 what is the value of Y (105)

+- Let bn be the number of distinct binary trees with n nodes We have n-I

b = Lbjb _ i_1 J where n ~ 1 and = 1ll ll bo =0

What is the value of bs (10 5)

~JT Jl~~

f4El ~t~~ttUlfU(3)

1I-$ft mml ~2ft soft 0 I

1 A (An) __ is a specialized version of a linked list in which nodes can be inserted

only at the start of the list and deleted only from the end of the list

(A) queue (B) stack (C) tree (D) array

2 The set of public member function of a class is referred to as the classs __

(A) constructor (B) interface (C) encapsulation (D) overload

3 The __ object sends information such as XHTML and text to the client

(A) Response (B) Request (C) Server (D) Session

4 The Apache web server cannot server __

(A) Perl (B) PHP (C) Python (D) ASPNet

5 Cat 5e and Cat 6 wiring can carry Ethernet traffic 100 meters up to __

(A) 10 Mbps (B) 100 Nlbps (C) 1 Gbps (D) 10 Gbps

6 Packet switching is most efficient for __ data

(A) relatively constant (B) high-latency

(C) high-priority (D) bursty

7 Topology is a __ layer concept

(A) physical (B) data link (C) internet (D) transport

8 In NAT the __ creates new external source IP addresses and port numbers

(A) router (B) firewall (C) source host (D) destination host

9 12817117131234 is __

(A) a host (B) a socket (C) a port number (D) an IP address

10 A (An) __ provides an alias- an alternate name- for the variable While passing

__ arguments a (an) __ to the variable in the calling program is passed

(A) value (B) address (C) reference (D) property

11 What technology could replace universal product code (bar code) tags on products

(A) Bluetooth (B) 80211 (C) UWB (D) RFIDs

12 In structured systems analysis the __ defines the interactions of the application

with the external world

(A) ERD (B) DFD

(C) Context Diagram (D) Dependency Diagram

13 Which ofthe following is used for structural modeling in UML

(A) class diagrams (B) use case diagrams

(C) component diagrams (D) deployment diagrams

~J5JT fi1f~ f3sect ~tJJ~tatffi1ll(3)

14 The __ view of a system encompasses the threads and process that form the

systems concurrency and synchronization mechanisms

(A) use case (B) process (C) design (D) implementation

15 A (An) __ is a structural relationship that specifies that objects of one thing are

connected to objects of another

(A) dependency B generalization (C) association (D) aggregation

16 A (An) __ is a java program that is hosted and run on a Web server rather than

launched from a browser

(A) Java application (B) JavaBean

(C) Applet (D) Servlet

17 Which of the following is not associated with the concept of data type

(A) Strongly typed language (B) Operator precedence

(C) Coercion (D) Boolean

18 Multiple choice examination answer sheets can be evaluated automatically by_

(A) Magnetic tape reader (B) Optical Character Reader

(C) Optical Mark Reader (D) Magnetic ink character reader

19 A __ is one based on the standard cloud computing mode in which a service

provider makes resources such as applications and storage available to the general

public over the Internet

(A) Community cloud (B) Private cloud

(C) Public cloud (D) Hybrid cloud

20 __ is the merging of cartography statistical analysis and database technology

(A) MIS (B) GIS (C) EIS (D) DSS

21 In software engineering a (an) __ is a set of principles and methodologies for

designing and developing software in the form of interoperable services

(A) Service-oriented architecture (B) Search-oriented architecture

(C) Database-centric architectu re (D) Event-driven architecture

22 Operating system is __

(A) a collection of software routines

(B) a collection of application programs

(C) a collection of hardware components

(D) a collection of input-output devices

~PJT ~~~

f4sect ~t~1Itnffifli(3)

23 Which of the following is the scope of a variable

(A) The type associated with the variable

(B) The structure associated with the variable

(C) The number of characters in the variables name

(D) The portion of the program in which the variable can be accessed

24 The main benefit of IPv6 over IPv4 is __

(A) two more bits in the IP address

(B) two more bytes in the IP address

(C) the ability to support more possible hosts

(D) the ability to have quality-of-service guarantees

25 Which ofthe following is false

(A) An XHTML element may be referred to in JavaScript by its id attribute

(B) Only the document object has an aI collection

(C) An elements tag is accessed with the tagName property

(D) The frames collection contains all the frames on a page

1 Discuss the capabilities that should be provided by a DBMS

2 Discuss each of the tasks of the core operating systems components - process

management thread management communication management memory

management and supervisor

3 Compare connectionless (UDP) and connection-oriented (TCP) communication for

the implementation of each of the following application-level or presentation-level

protocols

i) virtual terminal access (for example Telnet)

ii) file transfer (for example FTP)

iii) user location (for example rwho finger)

iv) information browsing (for example HTTP)

v) remote procedure call

4 Initial exchanges of public keys are vulnerable to the man-in-the-middle attack

Describe as many defenses against it as you can

5 How have new iSCSI systems improved the applicability of storage area networks

~FJT I~J5JT Ji~~ f4 sect MCgtO)

1 The probability of a customer arrival at a grocery service counter in any 1 second is equal to

015 Assume that customers arrive in a random stream and hence that the arrival any 1 second

is independent of any other

(a) Find the probability that the first arrival will occur during the third I-second interval (5)

(b) Find the probability that the first arrival will not occur until at least the third I-second

interval (5)

2 Let the moment-generating function for Y be met) et +~e2t +le 31 bull Find the distribution

6 6 6

of Yand its expected value and variance (10)

3 As a measure of intelligence mice are timed when going through a maze to reach a reward of

food The tirne(in seconds) required for any mouse is a random variable Y with density

function given by

bl ygt b f(y)= ly2 shy

o elsewhere

where b is the minimum possible time needed to traverse the maze

(a) Show that frY has the properties of a density function (5)

(b) Find F(y) (3)

(c) Find P(Ygt b + c) for a positive constant c (2)

4 A soft drink machine can be regulated so that it discharges an average of f1 ounces per cup If

the ounces of fill are normally distributed with standard deviation of 03 ounce give the setting

for f1 so that 8-ounce cups will overflow 1 of the time (10)

5 The length of life(measured in hundreds of hours) Y for fuses of a certain type is modeled by

the exponential distribution with

( I) -y13 ygtOfey) = 3 ~

elsewhere

(a) If two such fuses have independent lengths of life YI and Y2 find the joint probability

density function for Y1 and Y2 (5)

(b) One fuse in (a) is in a primary system and the other is in a backup system that comes into

use only if the primary system fails The total effective length of life of the two fuses is then Yj

+ Y2 Find P(Yj + Y2 1) (5)

J5)f IWJ5)f GiW f-H3 MEM~(I)

6 (a) ~7m~fffcptf-gJff1ftE 1fpound~f~cpfrnIamp7 25 ~f~~ e~Iampft 5~f~ 25 ~fl~Etgiff~j~ 310 1~~~~ 20 ~albcgjf~tEmt1t5ffi~5t~ B~f~)E tltif~misect~ sect ~m 300 ~~gtJ(tbftrff 027~-~~( type I error)Etg~Wm(critical valure) (10)0

(b) Bllt-gjfr~HimZ~~~~ 10 ~fl~Iamp115 fl r~3Wif~m~ 310 if 1Etg~-~amp( type I error)f f~5E~fffllt~(tmJf~llt 5~fl~)Etg~[ljff1ftimZif

~misect~sect~m 300 (15)

7 ~7m~~~ffi~gjf~ttEtg~I~~~~~~cp~-~ffim~-~~~~

A B C ~frI31flMtli~Etgpound6~If7l ~rp~f[fiJ~~~tbW~isect1t~lltg~~ti mZif~m ~~~EUintji4Mt5~~~5tffTEtgfrJJ~~~ a=OOl (15)

~~tbwtl A B C

if~m 3051307130913111302 298130412991 031 306 3111310131213121309

8 ~wmmalI~F~Bj~D ~gBj~1m tf~J~fPamp]M~9~DyenJjf~Etgtb$fJ7~~~Etg ~ ~EUJ~~n~ 1000 A~Etg~5 382 AJlfJX~9~ EtgWfi$ 416 AfJlfJX ~~Etg 5~~Ji~ iWtliftsectt~EtglllM ~~llt~JBjlz~isectt51r a=005 (10)

~J5JT fi1f~ f3sect ~tJJ~tatffi1ll(3)

14 The __ view of a system encompasses the threads and process that form the

systems concurrency and synchronization mechanisms

(A) use case (B) process (C) design (D) implementation

15 A (An) __ is a structural relationship that specifies that objects of one thing are

connected to objects of another

(A) dependency B generalization (C) association (D) aggregation

16 A (An) __ is a java program that is hosted and run on a Web server rather than

launched from a browser

(A) Java application (B) JavaBean

(C) Applet (D) Servlet

17 Which of the following is not associated with the concept of data type

(A) Strongly typed language (B) Operator precedence

(C) Coercion (D) Boolean

18 Multiple choice examination answer sheets can be evaluated automatically by_

(A) Magnetic tape reader (B) Optical Character Reader

(C) Optical Mark Reader (D) Magnetic ink character reader

19 A __ is one based on the standard cloud computing mode in which a service

provider makes resources such as applications and storage available to the general

public over the Internet

(A) Community cloud (B) Private cloud

(C) Public cloud (D) Hybrid cloud

20 __ is the merging of cartography statistical analysis and database technology

(A) MIS (B) GIS (C) EIS (D) DSS

21 In software engineering a (an) __ is a set of principles and methodologies for

designing and developing software in the form of interoperable services

(A) Service-oriented architecture (B) Search-oriented architecture

(C) Database-centric architectu re (D) Event-driven architecture

22 Operating system is __

(A) a collection of software routines

(B) a collection of application programs

(C) a collection of hardware components

(D) a collection of input-output devices

~PJT ~~~

f4sect ~t~1Itnffifli(3)

23 Which of the following is the scope of a variable

(A) The type associated with the variable

(B) The structure associated with the variable

(C) The number of characters in the variables name

(D) The portion of the program in which the variable can be accessed

24 The main benefit of IPv6 over IPv4 is __

(A) two more bits in the IP address

(B) two more bytes in the IP address

(C) the ability to support more possible hosts

(D) the ability to have quality-of-service guarantees

25 Which ofthe following is false

(A) An XHTML element may be referred to in JavaScript by its id attribute

(B) Only the document object has an aI collection

(C) An elements tag is accessed with the tagName property

(D) The frames collection contains all the frames on a page

1 Discuss the capabilities that should be provided by a DBMS

2 Discuss each of the tasks of the core operating systems components - process

management thread management communication management memory

management and supervisor

3 Compare connectionless (UDP) and connection-oriented (TCP) communication for

the implementation of each of the following application-level or presentation-level

protocols

i) virtual terminal access (for example Telnet)

ii) file transfer (for example FTP)

iii) user location (for example rwho finger)

iv) information browsing (for example HTTP)

v) remote procedure call

4 Initial exchanges of public keys are vulnerable to the man-in-the-middle attack

Describe as many defenses against it as you can

5 How have new iSCSI systems improved the applicability of storage area networks

~FJT I~J5JT Ji~~ f4 sect MCgtO)

1 The probability of a customer arrival at a grocery service counter in any 1 second is equal to

015 Assume that customers arrive in a random stream and hence that the arrival any 1 second

is independent of any other

(a) Find the probability that the first arrival will occur during the third I-second interval (5)

(b) Find the probability that the first arrival will not occur until at least the third I-second

interval (5)

2 Let the moment-generating function for Y be met) et +~e2t +le 31 bull Find the distribution

6 6 6

of Yand its expected value and variance (10)

3 As a measure of intelligence mice are timed when going through a maze to reach a reward of

food The tirne(in seconds) required for any mouse is a random variable Y with density

function given by

bl ygt b f(y)= ly2 shy

o elsewhere

where b is the minimum possible time needed to traverse the maze

(a) Show that frY has the properties of a density function (5)

(b) Find F(y) (3)

(c) Find P(Ygt b + c) for a positive constant c (2)

4 A soft drink machine can be regulated so that it discharges an average of f1 ounces per cup If

the ounces of fill are normally distributed with standard deviation of 03 ounce give the setting

for f1 so that 8-ounce cups will overflow 1 of the time (10)

5 The length of life(measured in hundreds of hours) Y for fuses of a certain type is modeled by

the exponential distribution with

( I) -y13 ygtOfey) = 3 ~

elsewhere

(a) If two such fuses have independent lengths of life YI and Y2 find the joint probability

density function for Y1 and Y2 (5)

(b) One fuse in (a) is in a primary system and the other is in a backup system that comes into

use only if the primary system fails The total effective length of life of the two fuses is then Yj

+ Y2 Find P(Yj + Y2 1) (5)

J5)f IWJ5)f GiW f-H3 MEM~(I)

6 (a) ~7m~fffcptf-gJff1ftE 1fpound~f~cpfrnIamp7 25 ~f~~ e~Iampft 5~f~ 25 ~fl~Etgiff~j~ 310 1~~~~ 20 ~albcgjf~tEmt1t5ffi~5t~ B~f~)E tltif~misect~ sect ~m 300 ~~gtJ(tbftrff 027~-~~( type I error)Etg~Wm(critical valure) (10)0

(b) Bllt-gjfr~HimZ~~~~ 10 ~fl~Iamp115 fl r~3Wif~m~ 310 if 1Etg~-~amp( type I error)f f~5E~fffllt~(tmJf~llt 5~fl~)Etg~[ljff1ftimZif

~misect~sect~m 300 (15)

7 ~7m~~~ffi~gjf~ttEtg~I~~~~~~cp~-~ffim~-~~~~

A B C ~frI31flMtli~Etgpound6~If7l ~rp~f[fiJ~~~tbW~isect1t~lltg~~ti mZif~m ~~~EUintji4Mt5~~~5tffTEtgfrJJ~~~ a=OOl (15)

~~tbwtl A B C

if~m 3051307130913111302 298130412991 031 306 3111310131213121309

8 ~wmmalI~F~Bj~D ~gBj~1m tf~J~fPamp]M~9~DyenJjf~Etgtb$fJ7~~~Etg ~ ~EUJ~~n~ 1000 A~Etg~5 382 AJlfJX~9~ EtgWfi$ 416 AfJlfJX ~~Etg 5~~Ji~ iWtliftsectt~EtglllM ~~llt~JBjlz~isectt51r a=005 (10)

~PJT ~~~

f4sect ~t~1Itnffifli(3)

23 Which of the following is the scope of a variable

(A) The type associated with the variable

(B) The structure associated with the variable

(C) The number of characters in the variables name

(D) The portion of the program in which the variable can be accessed

24 The main benefit of IPv6 over IPv4 is __

(A) two more bits in the IP address

(B) two more bytes in the IP address

(C) the ability to support more possible hosts

(D) the ability to have quality-of-service guarantees

25 Which ofthe following is false

(A) An XHTML element may be referred to in JavaScript by its id attribute

(B) Only the document object has an aI collection

(C) An elements tag is accessed with the tagName property

(D) The frames collection contains all the frames on a page

1 Discuss the capabilities that should be provided by a DBMS

2 Discuss each of the tasks of the core operating systems components - process

management thread management communication management memory

management and supervisor

3 Compare connectionless (UDP) and connection-oriented (TCP) communication for

the implementation of each of the following application-level or presentation-level

protocols

i) virtual terminal access (for example Telnet)

ii) file transfer (for example FTP)

iii) user location (for example rwho finger)

iv) information browsing (for example HTTP)

v) remote procedure call

4 Initial exchanges of public keys are vulnerable to the man-in-the-middle attack

Describe as many defenses against it as you can

5 How have new iSCSI systems improved the applicability of storage area networks

~FJT I~J5JT Ji~~ f4 sect MCgtO)

1 The probability of a customer arrival at a grocery service counter in any 1 second is equal to

015 Assume that customers arrive in a random stream and hence that the arrival any 1 second

is independent of any other

(a) Find the probability that the first arrival will occur during the third I-second interval (5)

(b) Find the probability that the first arrival will not occur until at least the third I-second

interval (5)

2 Let the moment-generating function for Y be met) et +~e2t +le 31 bull Find the distribution

6 6 6

of Yand its expected value and variance (10)

3 As a measure of intelligence mice are timed when going through a maze to reach a reward of

food The tirne(in seconds) required for any mouse is a random variable Y with density

function given by

bl ygt b f(y)= ly2 shy

o elsewhere

where b is the minimum possible time needed to traverse the maze

(a) Show that frY has the properties of a density function (5)

(b) Find F(y) (3)

(c) Find P(Ygt b + c) for a positive constant c (2)

4 A soft drink machine can be regulated so that it discharges an average of f1 ounces per cup If

the ounces of fill are normally distributed with standard deviation of 03 ounce give the setting

for f1 so that 8-ounce cups will overflow 1 of the time (10)

5 The length of life(measured in hundreds of hours) Y for fuses of a certain type is modeled by

the exponential distribution with

( I) -y13 ygtOfey) = 3 ~

elsewhere

(a) If two such fuses have independent lengths of life YI and Y2 find the joint probability

density function for Y1 and Y2 (5)

(b) One fuse in (a) is in a primary system and the other is in a backup system that comes into

use only if the primary system fails The total effective length of life of the two fuses is then Yj

+ Y2 Find P(Yj + Y2 1) (5)

J5)f IWJ5)f GiW f-H3 MEM~(I)

6 (a) ~7m~fffcptf-gJff1ftE 1fpound~f~cpfrnIamp7 25 ~f~~ e~Iampft 5~f~ 25 ~fl~Etgiff~j~ 310 1~~~~ 20 ~albcgjf~tEmt1t5ffi~5t~ B~f~)E tltif~misect~ sect ~m 300 ~~gtJ(tbftrff 027~-~~( type I error)Etg~Wm(critical valure) (10)0

(b) Bllt-gjfr~HimZ~~~~ 10 ~fl~Iamp115 fl r~3Wif~m~ 310 if 1Etg~-~amp( type I error)f f~5E~fffllt~(tmJf~llt 5~fl~)Etg~[ljff1ftimZif

~misect~sect~m 300 (15)

7 ~7m~~~ffi~gjf~ttEtg~I~~~~~~cp~-~ffim~-~~~~

A B C ~frI31flMtli~Etgpound6~If7l ~rp~f[fiJ~~~tbW~isect1t~lltg~~ti mZif~m ~~~EUintji4Mt5~~~5tffTEtgfrJJ~~~ a=OOl (15)

~~tbwtl A B C

if~m 3051307130913111302 298130412991 031 306 3111310131213121309

8 ~wmmalI~F~Bj~D ~gBj~1m tf~J~fPamp]M~9~DyenJjf~Etgtb$fJ7~~~Etg ~ ~EUJ~~n~ 1000 A~Etg~5 382 AJlfJX~9~ EtgWfi$ 416 AfJlfJX ~~Etg 5~~Ji~ iWtliftsectt~EtglllM ~~llt~JBjlz~isectt51r a=005 (10)

~FJT I~J5JT Ji~~ f4 sect MCgtO)

1 The probability of a customer arrival at a grocery service counter in any 1 second is equal to

015 Assume that customers arrive in a random stream and hence that the arrival any 1 second

is independent of any other

(a) Find the probability that the first arrival will occur during the third I-second interval (5)

(b) Find the probability that the first arrival will not occur until at least the third I-second

interval (5)

2 Let the moment-generating function for Y be met) et +~e2t +le 31 bull Find the distribution

6 6 6

of Yand its expected value and variance (10)

3 As a measure of intelligence mice are timed when going through a maze to reach a reward of

food The tirne(in seconds) required for any mouse is a random variable Y with density

function given by

bl ygt b f(y)= ly2 shy

o elsewhere

where b is the minimum possible time needed to traverse the maze

(a) Show that frY has the properties of a density function (5)

(b) Find F(y) (3)

(c) Find P(Ygt b + c) for a positive constant c (2)

4 A soft drink machine can be regulated so that it discharges an average of f1 ounces per cup If

the ounces of fill are normally distributed with standard deviation of 03 ounce give the setting

for f1 so that 8-ounce cups will overflow 1 of the time (10)

5 The length of life(measured in hundreds of hours) Y for fuses of a certain type is modeled by

the exponential distribution with

( I) -y13 ygtOfey) = 3 ~

elsewhere

(a) If two such fuses have independent lengths of life YI and Y2 find the joint probability

density function for Y1 and Y2 (5)

(b) One fuse in (a) is in a primary system and the other is in a backup system that comes into

use only if the primary system fails The total effective length of life of the two fuses is then Yj

+ Y2 Find P(Yj + Y2 1) (5)

J5)f IWJ5)f GiW f-H3 MEM~(I)

6 (a) ~7m~fffcptf-gJff1ftE 1fpound~f~cpfrnIamp7 25 ~f~~ e~Iampft 5~f~ 25 ~fl~Etgiff~j~ 310 1~~~~ 20 ~albcgjf~tEmt1t5ffi~5t~ B~f~)E tltif~misect~ sect ~m 300 ~~gtJ(tbftrff 027~-~~( type I error)Etg~Wm(critical valure) (10)0

(b) Bllt-gjfr~HimZ~~~~ 10 ~fl~Iamp115 fl r~3Wif~m~ 310 if 1Etg~-~amp( type I error)f f~5E~fffllt~(tmJf~llt 5~fl~)Etg~[ljff1ftimZif

~misect~sect~m 300 (15)

7 ~7m~~~ffi~gjf~ttEtg~I~~~~~~cp~-~ffim~-~~~~

A B C ~frI31flMtli~Etgpound6~If7l ~rp~f[fiJ~~~tbW~isect1t~lltg~~ti mZif~m ~~~EUintji4Mt5~~~5tffTEtgfrJJ~~~ a=OOl (15)

~~tbwtl A B C

if~m 3051307130913111302 298130412991 031 306 3111310131213121309

8 ~wmmalI~F~Bj~D ~gBj~1m tf~J~fPamp]M~9~DyenJjf~Etgtb$fJ7~~~Etg ~ ~EUJ~~n~ 1000 A~Etg~5 382 AJlfJX~9~ EtgWfi$ 416 AfJlfJX ~~Etg 5~~Ji~ iWtliftsectt~EtglllM ~~llt~JBjlz~isectt51r a=005 (10)

J5)f IWJ5)f GiW f-H3 MEM~(I)

6 (a) ~7m~fffcptf-gJff1ftE 1fpound~f~cpfrnIamp7 25 ~f~~ e~Iampft 5~f~ 25 ~fl~Etgiff~j~ 310 1~~~~ 20 ~albcgjf~tEmt1t5ffi~5t~ B~f~)E tltif~misect~ sect ~m 300 ~~gtJ(tbftrff 027~-~~( type I error)Etg~Wm(critical valure) (10)0

(b) Bllt-gjfr~HimZ~~~~ 10 ~fl~Iamp115 fl r~3Wif~m~ 310 if 1Etg~-~amp( type I error)f f~5E~fffllt~(tmJf~llt 5~fl~)Etg~[ljff1ftimZif

~misect~sect~m 300 (15)

7 ~7m~~~ffi~gjf~ttEtg~I~~~~~~cp~-~ffim~-~~~~

A B C ~frI31flMtli~Etgpound6~If7l ~rp~f[fiJ~~~tbW~isect1t~lltg~~ti mZif~m ~~~EUintji4Mt5~~~5tffTEtgfrJJ~~~ a=OOl (15)

~~tbwtl A B C

if~m 3051307130913111302 298130412991 031 306 3111310131213121309

8 ~wmmalI~F~Bj~D ~gBj~1m tf~J~fPamp]M~9~DyenJjf~Etgtb$fJ7~~~Etg ~ ~EUJ~~n~ 1000 A~Etg~5 382 AJlfJX~9~ EtgWfi$ 416 AfJlfJX ~~Etg 5~~Ji~ iWtliftsectt~EtglllM ~~llt~JBjlz~isectt51r a=005 (10)

--

TABLE 3 Normal CWIIe Areas

~ 0

00 of 02 03 (H OS 06 07 08middot 09

00 0000 0040 0080 0120 0160 0199 0239 0279 0319 035901 0398 0438 0478 0517 0557 0596 0636 0675 0714 075302 0793 0832 0871 0910 0948 0987 1026 1064 1103 114103 1179 1217 1255 1293 1331 1368 1406 1443 1480 151704 1554 1591 1628 1664 1700 1736 1772 1808 1844 187905 1915 1950 198S 2019 2054 2088 2123 2157 2190 2224 06 2257 2291 2324 2357 2389 2422 2454 2486 2517 2549 7 2580 2611 2642 2673 2704 2734 2764 i794 2823 285208 2881 2910 2939 2967 middot2995 3023 3051 3078 3106 313309 3159 3186 3212 3238 3264 3289 3315 3340 3365 338910 3413 3438 3461 3485 3508 3531 3554 3577 3599 3621 11 3643 3665 3686 3708 3729 3749 3770 3790 3810 3830 12 3849 3869 3888 3907 3925 3944 3962 3980 Jm 4015 13 4032 4049 4066 4082 4099 4115 4131 4147 4162 4177 14 4192 4207 4222 4~ 4251 4265 4279 4292 4306 431915 4332 4345 4357 4Uo 4382 4394 4406 4418 4429 4441 16 4452 4463 4474 4484 4495 4505 4515 bull4525 4535 454517 4554 4564 4573 4582 4591 4599 46OlI 4616 4625 4633 18 4641 4649 4656 4664 4671 4678 4686 4693 4699 470619 4713 4719 4726 4732 4738 4744 4750 4756 4761 4767 29 47(2 4778 4783 4788 4793 ~3 4812 48174798 4808 21 4821 4826 4830 4834 4838 4842 4846 4850 4854 485722 4861 4864 4868 4871 4875 -4878 4881 4884 4887 489023 4893 4896 4898 42U 4904 4906 4909 4911 4913 491624 4918 4920 4922 4925 4927 4929 4~31 4932 4934 493625 4938 4940 4941 4943 4945 4946 4948 4949 4951 4952 26 4953 4955 4956 4957 4959 4960 4961 4962 4963 4964 27 4965 4966 4967 4968 4969 4970 4971 4972 4973 497428 4974 4975 4976 4977 4977 4978 4979 4979 4980 4981 29 4981 4982 4982 4983 4984 4984 4985 4985 4986 4986 30 4987 4987 4987 4988 4988 4989 4989 4989 4990 4990

This table isabridged from Table 1 of Skllistica Tabfls and Formulas by A Hald (New York John Wiley amp Sons Inc 1952) Rllroduced by permission of A Hald and the publishers John Wiley amp Sons Inc

TABLE CrtlcQl Val of t

~

tl00 100 t015 101bull I dpound

3078 6314 12706 31821 63657 1 1886 2920 4303 6965 9925 2 1638 2353 3182 4541 5841 3 tS33 2132 2776 3747 4604 4

1476 2015 2571 3365 4032 5 1440 1943 2447 3143 3707 6 1415 1895 2365 2998 3499 7 1397 1860 2306 2896 3355 8

1383 1833 2262 2821 3250 9

1372 1812 2228 2764 3169 10 1363 1796 2201 2718 3106 11 1356 1782 2179 2~1 3055 12 1350 1711 2160 bull 2650 -3012 13 1345 1761 2145 2624 2977 14 1341 1753 2131 2602 2947 15

1337 1746 2120 2513 2921 16 1333 1740 2110 2567 2898 17

1330 1734 2101 2552 2878 18 1328 1729 2093 2539 2861 19

middot1325 1725 2086 2528 2845 20 1323 1721 middot2080 2518 2831 21 1321 1717 2074 2508 2819 22 1319 1714 2069 2500 2807 23 138 1711 2064 2492 2797 24 1316 1708 2060 2485 2787 25 1315 1706 2056 2479 2m 26 1314 1703 2052 2473 2771 27 1313 1701 2048 2467 2763 28 1311 1li99 2045 2462 2756 29 1282 1645 1960 326 2576 int

From Table of Pereentage Points of the ImiddotDistribuionmiddot Computed by Muine Merrington Btomfltrlka Vol 32 (1941) p 300 Reproduced by permiSSion of Professor E S Pearson

j

$ 011

~13 l~-ttr ~ jfut~t+ ~~

=~ ~gt+4llI ~ 116 Hf ulIt ~ ~ ill

~ IIll~

1M~ H ~1IIl)

rw~~

-1St

nul ~ ltJ) ~

TABLE 6

(dt)

1 2 3 4

5 6 7 8 9

10 middot11

12 13 14

15 16 17 18 19

20 21 22 23 24

25 26 27 28 29

30 40 60

120 QO

Percentage Points ofthe F Distribution Ill OJ

~ 0 Fa

(df)

1 3 4 5 6

1614 1995 2157 2246 2302 2340 1851 1900 1916 1925 1930 1933 1013 955 928 912 901 894 771 694 659 626 616

661 S79 541 519 505 495 59) 514 476 453 439 428

~9

559 474 435 412 397 387 532 446 4C11 384 369 358

S12 426 386 363 348 337

496 410 ~ 371 348 333 322

middot484 398 359 i36 320 309 326 311475 389 349 300

467 381 341 318 303 292 460 374 3~ 311 296 285

454 368 329 306 290 279 449 363 324 301 285 274 445 359 320 296 281 210 441 355 316 293 277 438 352 313 290 274 ~~ 435 349 310 287 271 260 432 347 3in 284 268 257 430 344 305 282 266 255 428 342 303 280 264 253 426 340 301 278 262 251

424 339 299 276 260 249 423 337 298 274 259 247 421 335 296 273 257 246 420 334 295 271 256 245 418 333 293 270 255 i43

417 332 292 269 253 242 408 323 284 261 245 234 400 315 276 253 237 225 392 3C11 268 245 229 217 384 300 260 237 221 ~O

7

2368 1935 889 609 488 421 379 350 329

314 301

291 283 276

271 266 261

258 254

251 249

246 244 242

240 239 237 236 235

233 225 217

209 201

middot8

2389 1937 885

604

482 41S 373 344 323

307 29S 285 277 210

264 2S9 255 251 248

245 242 240 237 236

234 232 231 229 228

227 218 210 202 194

9

2405 1938 881 600

477 410 368 339 318

302 290 280 271 265

259 254 249 246 242

239 237 2M 232 230

228 227

225 224 222

221 212 204 196 188

TABLE6 (Continued)

(dJ)

10 12 15 20 24 30 40 6(J 120 middot ao bull (d

2419 1940 879 S96

474 406 364 335 314

298 285 275 267 260

254 249 245 241 238

235 232 230 227 225

224 222 220 219 218

216 208 199 191 183

2439 1941

874 591

468 400 357 328 3C11

291 279 269 260

253

248 242 238 234 23t

228 225 223 220 218

216 215 213 212 210

209 200 192 183 175

2459 1943 870 586

462 394 351 322 301

285 272 262 253 246

240 235 231 227 223

220 218

21S 213 211

2W 207

206 204 203

201 192 184 175 167

2480 194S 866 580

456 387 344 315 294

277 265 254 246 239

233 228 223 219 216

212 210 2C11 205 203 201 199 197 196 194 193 184 17S 166 157

2491 1945 864 577

453 384 341 312 290

274 261 251 242 235

229 224

219 215 211

208 iris 203 201 198

196 195 193 191 190

189 179 170 161 152

2501 1946 862 575

450 381

H8 308 286

270 257 247 238 23i

225~ 219 215 211 2C11

204 201 198 196 t94

192 190 188 187 185

184 174 I6S 155 146

2511 1947 859

572

446 377 334 304 283

266 253 243 234 227

220 2i5

210 206 203

199 196 194 191 189

187 185 184 182 181

179 169 159 150 139

2522 1948 857 569

443 374 330 301 279

262 249 238 230 222

~ 216 211 206 202middot 198

-195

192 189 186

184

182 180 179 177 17S

174 164 153 143 132

2533 1949 8S5 566

440 370 327 297 27S

258 245 234 225 218

211 206middot 201 197 193

190 187 184 181 179

177 17S 1073 171 170

168 158 147 l35 122

2543 1950 853 563

436 367 323 293 271

2S4 240 230

middot 221 213

2C11 201 196 192 188

1~84 181 178 176 173

171 169 167 165

middot 164

162 151 139 125 100

1 2 3 4

~

i ~

S 1( 11 11 1 14

1~ It I U IS 2(

21 Z 2 2lt

2 21 Tshy21 ~

3(

4(

(i(

12 QO

From Tables of Percentage PoinlS of the Inverted Beta (F) Distribution ~ Biometrika Vol 33 (194 pp 73-88 by Maxine Mcnington and catherine M Thompson Reproduced by pcnnission of proress E S Pearson

$ sectg ~)B ~ -Itr ~W$

~ ~

~~ ~~ ~gt+

Cshy~ i1cl Kt uIIt ~ ~ ~

tti ~ J]]] ~

IlIIII~ H ~ DIll i$J ~ -

- - )U IIDl ~ ~

~

--

TABLE 7 Percentage Poinl1J 0 the F Distributiorr -01 _

~ OFcr

(df)

7

5928 9936 2767 1498

1046 826

699 618 561

520 489 464 444 428

414 403 393 384 377

370 364 359 354 350

346 342 339 336 333

330 312 295 279 264

8

5982 9937

2749 1480

1029 810

6~ 603

5-7

middot506 474

450 430 414

400 389 379 371 363

356 351

middot345 middot3~1

336

332 329 326 323 320

317 299

282 266 251

9

6022 9939 2735 1466

1016 798

6~ 591middot

_ 535

494 463 439 419 403

389 378 368 360 352

3A6 340 335 330

326

322 318 315 ~12 309

307 289

272 256 241

$ sectIJ

~~r ~

~ H-I ~~

lgtdt ~gt+ 1shy~ i1iE Kt utIt ~ ~ amp1m

~ ~ IID ~

IlIllf~ H ~ Illl ~~ 1gt-1

- ~ ~Illll ~

~

_ 2 (df)

I 4052 49995 2 9850 9900 3 3412 3082

4 2120 1800

middot5 1626 1327 6 1375 1092 7 1225 955 8 1126 865 9 1056 802

10 1004 756 11 965 721 12 933 693 13 -907 610 14 ss6 651

15 868 636middot 16 853 623 17 840 611 18 829 601 19 818 593

20 810 585 21 802 S78

22 795 572 23 788 566

24 782 561

2S 777 557 26 772 553 27 768 549 28 764 545 29 760 542

30 756 539 40 731 518 60 708 498

120 685 479 co 663 461

3 shy

S403 S62S 9917 2946 1669

1206 978 845 759middot 699

-655 622 595 574 556

542 529 518 509 501

494 487 482 476

472

468 464 460

457 454

451 431 413 395 378

9925 2871 1598

1139 915 785 701 642

599 567 541 521 504

489 417 467 458 450

443 437 431 426 422

418 middotU4middot 411 407 404

402 383 365 348 332

$ 6

5764 5859 9930 9933 2824 2791 1552 1521

1097 1067 87S 847 746 719 663 637 6(16 580

564 539 532 5C17 506 482 486- 462 469 446

456 432 4~ 420 434 410 425 401 417 394

410 387 4middot04 381 399 376 394 371 390 367

385 363 382 359 378 356 375 353 373 350

370 347 351 329 334 312 317 296 302 280

TABLE 7 (Continued)

6056 6106 9940 9942 2723 2705 1455 1437

1005 989 787 772 662 647 581 567 526 511

485 471 454 440 430 416 410 396 394 380

380 367 369 355 359 346 351 337 343 330

337 323 331 317 326 312 321 307 317 303

313 299 309 296shy306 i93 303 290 300 287

298 284 280 266 263 250 247 234 232 218

(df)

10 2 $ 1() 24 30 4) 60 110 00 (d

6157 6209 6235 6261 6287 6313 9943 9945 9946 9947 9947 9948 2687 2669 2660 2650 2641 2632 1420 1402 133 1384 13~5 1365 972 955 947 938 929 920 756 740 731 723 714 706 631 616 607 599 591 582 552 536 528 520 512 503 496 481 473 465 457 448middot 456 441 433 425 417 408 425 410 402 394 386 378 401 386 378 370 362 354 382 366 359 351 343 334 366 351 343 335 327 318 352 337 329 j21 313 305 341 326 118 310 302 293 331 316 308 300 292 283 323 308 v 300 292 284 275 315 300- 292 284 276 267

309 294 286- 278 269 261 301 288 280 272 264 2S5 298 283 275 267 258 250 293 278 270 262 254 245

274 289 266 258 249 middot240 285 270 262 254 245 236 281 266 258 middot250 242 233

278 263 255 247 238 229 275 260 252 244 235 226 273 257 249 241 233 223 270 255 247 239 230 221 252 237 229 220 loll 202 235 220 212 203 194 184 219 203 195 186 176 166 204 188 179 170 159 147

6339 9949

2622 1356

911 697 574 495 440

400 369

_ 345 325 309

296 284 275 266 258

252 246 240 235 231

227 223 220 217 214

211 192 173 153 132

6366 1 9950 2 2613 3 1346 ~

902 688

565 i 486 ~

431 S

391 Ie 360 U 336 1

317 13 300 14

287 1~

275 I 265 Ii 257 U 249 IS

242 X 236 21 231 ~ 226 2 221 2A

217 ~

213 2

210 Zi 206 2E

203 2S

201 3(

180 4(

160 6(

138 IX 100 co

From Tables of Percen~ Points of the Inverted Beta (F) Distribution Bwlrika Vol 33 (194 pp 73-88 by Maxinc Mmngton and Catherine M Thompson Reproduced by permission of Profes Eo S peanon

TABLE 6

(dt)

1 2 3 4

5 6 7 8 9

10 middot11

12 13 14

15 16 17 18 19

20 21 22 23 24

25 26 27 28 29

30 40 60

120 QO

Percentage Points ofthe F Distribution Ill OJ

~ 0 Fa

(df)

1 3 4 5 6

1614 1995 2157 2246 2302 2340 1851 1900 1916 1925 1930 1933 1013 955 928 912 901 894 771 694 659 626 616

661 S79 541 519 505 495 59) 514 476 453 439 428

~9

559 474 435 412 397 387 532 446 4C11 384 369 358

S12 426 386 363 348 337

496 410 ~ 371 348 333 322

middot484 398 359 i36 320 309 326 311475 389 349 300

467 381 341 318 303 292 460 374 3~ 311 296 285

454 368 329 306 290 279 449 363 324 301 285 274 445 359 320 296 281 210 441 355 316 293 277 438 352 313 290 274 ~~ 435 349 310 287 271 260 432 347 3in 284 268 257 430 344 305 282 266 255 428 342 303 280 264 253 426 340 301 278 262 251

424 339 299 276 260 249 423 337 298 274 259 247 421 335 296 273 257 246 420 334 295 271 256 245 418 333 293 270 255 i43

417 332 292 269 253 242 408 323 284 261 245 234 400 315 276 253 237 225 392 3C11 268 245 229 217 384 300 260 237 221 ~O

7

2368 1935 889 609 488 421 379 350 329

314 301

291 283 276

271 266 261

258 254

251 249

246 244 242

240 239 237 236 235

233 225 217

209 201

middot8

2389 1937 885

604

482 41S 373 344 323

307 29S 285 277 210

264 2S9 255 251 248

245 242 240 237 236

234 232 231 229 228

227 218 210 202 194

9

2405 1938 881 600

477 410 368 339 318

302 290 280 271 265

259 254 249 246 242

239 237 2M 232 230

228 227

225 224 222

221 212 204 196 188

TABLE6 (Continued)

(dJ)

10 12 15 20 24 30 40 6(J 120 middot ao bull (d

2419 1940 879 S96

474 406 364 335 314

298 285 275 267 260

254 249 245 241 238

235 232 230 227 225

224 222 220 219 218

216 208 199 191 183

2439 1941

874 591

468 400 357 328 3C11

291 279 269 260

253

248 242 238 234 23t

228 225 223 220 218

216 215 213 212 210

209 200 192 183 175

2459 1943 870 586

462 394 351 322 301

285 272 262 253 246

240 235 231 227 223

220 218

21S 213 211

2W 207

206 204 203

201 192 184 175 167

2480 194S 866 580

456 387 344 315 294

277 265 254 246 239

233 228 223 219 216

212 210 2C11 205 203 201 199 197 196 194 193 184 17S 166 157

2491 1945 864 577

453 384 341 312 290

274 261 251 242 235

229 224

219 215 211

208 iris 203 201 198

196 195 193 191 190

189 179 170 161 152

2501 1946 862 575

450 381

H8 308 286

270 257 247 238 23i

225~ 219 215 211 2C11

204 201 198 196 t94

192 190 188 187 185

184 174 I6S 155 146

2511 1947 859

572

446 377 334 304 283

266 253 243 234 227

220 2i5

210 206 203

199 196 194 191 189

187 185 184 182 181

179 169 159 150 139

2522 1948 857 569

443 374 330 301 279

262 249 238 230 222

~ 216 211 206 202middot 198

-195

192 189 186

184

182 180 179 177 17S

174 164 153 143 132

2533 1949 8S5 566

440 370 327 297 27S

258 245 234 225 218

211 206middot 201 197 193

190 187 184 181 179

177 17S 1073 171 170

168 158 147 l35 122

2543 1950 853 563

436 367 323 293 271

2S4 240 230

middot 221 213

2C11 201 196 192 188

1~84 181 178 176 173

171 169 167 165

middot 164

162 151 139 125 100

1 2 3 4

~

i ~

S 1( 11 11 1 14

1~ It I U IS 2(

21 Z 2 2lt

2 21 Tshy21 ~

3(

4(

(i(

12 QO

From Tables of Percentage PoinlS of the Inverted Beta (F) Distribution ~ Biometrika Vol 33 (194 pp 73-88 by Maxine Mcnington and catherine M Thompson Reproduced by pcnnission of proress E S Pearson

$ sectg ~)B ~ -Itr ~W$

~ ~

~~ ~~ ~gt+

Cshy~ i1cl Kt uIIt ~ ~ ~

tti ~ J]]] ~

IlIIII~ H ~ DIll i$J ~ -

- - )U IIDl ~ ~

~

--

TABLE 7 Percentage Poinl1J 0 the F Distributiorr -01 _

~ OFcr

(df)

7

5928 9936 2767 1498

1046 826

699 618 561

520 489 464 444 428

414 403 393 384 377

370 364 359 354 350

346 342 339 336 333

330 312 295 279 264

8

5982 9937

2749 1480

1029 810

6~ 603

5-7

middot506 474

450 430 414

400 389 379 371 363

356 351

middot345 middot3~1

336

332 329 326 323 320

317 299

282 266 251

9

6022 9939 2735 1466

1016 798

6~ 591middot

_ 535

494 463 439 419 403

389 378 368 360 352

3A6 340 335 330

326

322 318 315 ~12 309

307 289

272 256 241

$ sectIJ

~~r ~

~ H-I ~~

lgtdt ~gt+ 1shy~ i1iE Kt utIt ~ ~ amp1m

~ ~ IID ~

IlIllf~ H ~ Illl ~~ 1gt-1

- ~ ~Illll ~

~

_ 2 (df)

I 4052 49995 2 9850 9900 3 3412 3082

4 2120 1800

middot5 1626 1327 6 1375 1092 7 1225 955 8 1126 865 9 1056 802

10 1004 756 11 965 721 12 933 693 13 -907 610 14 ss6 651

15 868 636middot 16 853 623 17 840 611 18 829 601 19 818 593

20 810 585 21 802 S78

22 795 572 23 788 566

24 782 561

2S 777 557 26 772 553 27 768 549 28 764 545 29 760 542

30 756 539 40 731 518 60 708 498

120 685 479 co 663 461

3 shy

S403 S62S 9917 2946 1669

1206 978 845 759middot 699

-655 622 595 574 556

542 529 518 509 501

494 487 482 476

472

468 464 460

457 454

451 431 413 395 378

9925 2871 1598

1139 915 785 701 642

599 567 541 521 504

489 417 467 458 450

443 437 431 426 422

418 middotU4middot 411 407 404

402 383 365 348 332

$ 6

5764 5859 9930 9933 2824 2791 1552 1521

1097 1067 87S 847 746 719 663 637 6(16 580

564 539 532 5C17 506 482 486- 462 469 446

456 432 4~ 420 434 410 425 401 417 394

410 387 4middot04 381 399 376 394 371 390 367

385 363 382 359 378 356 375 353 373 350

370 347 351 329 334 312 317 296 302 280

TABLE 7 (Continued)

6056 6106 9940 9942 2723 2705 1455 1437

1005 989 787 772 662 647 581 567 526 511

485 471 454 440 430 416 410 396 394 380

380 367 369 355 359 346 351 337 343 330

337 323 331 317 326 312 321 307 317 303

313 299 309 296shy306 i93 303 290 300 287

298 284 280 266 263 250 247 234 232 218

(df)

10 2 $ 1() 24 30 4) 60 110 00 (d

6157 6209 6235 6261 6287 6313 9943 9945 9946 9947 9947 9948 2687 2669 2660 2650 2641 2632 1420 1402 133 1384 13~5 1365 972 955 947 938 929 920 756 740 731 723 714 706 631 616 607 599 591 582 552 536 528 520 512 503 496 481 473 465 457 448middot 456 441 433 425 417 408 425 410 402 394 386 378 401 386 378 370 362 354 382 366 359 351 343 334 366 351 343 335 327 318 352 337 329 j21 313 305 341 326 118 310 302 293 331 316 308 300 292 283 323 308 v 300 292 284 275 315 300- 292 284 276 267

309 294 286- 278 269 261 301 288 280 272 264 2S5 298 283 275 267 258 250 293 278 270 262 254 245

274 289 266 258 249 middot240 285 270 262 254 245 236 281 266 258 middot250 242 233

278 263 255 247 238 229 275 260 252 244 235 226 273 257 249 241 233 223 270 255 247 239 230 221 252 237 229 220 loll 202 235 220 212 203 194 184 219 203 195 186 176 166 204 188 179 170 159 147

6339 9949

2622 1356

911 697 574 495 440

400 369

_ 345 325 309

296 284 275 266 258

252 246 240 235 231

227 223 220 217 214

211 192 173 153 132

6366 1 9950 2 2613 3 1346 ~

902 688

565 i 486 ~

431 S

391 Ie 360 U 336 1

317 13 300 14

287 1~

275 I 265 Ii 257 U 249 IS

242 X 236 21 231 ~ 226 2 221 2A

217 ~

213 2

210 Zi 206 2E

203 2S

201 3(

180 4(

160 6(

138 IX 100 co

From Tables of Percen~ Points of the Inverted Beta (F) Distribution Bwlrika Vol 33 (194 pp 73-88 by Maxinc Mmngton and Catherine M Thompson Reproduced by permission of Profes Eo S peanon

--

TABLE 7 Percentage Poinl1J 0 the F Distributiorr -01 _

~ OFcr

(df)

7

5928 9936 2767 1498

1046 826

699 618 561

520 489 464 444 428

414 403 393 384 377

370 364 359 354 350

346 342 339 336 333

330 312 295 279 264

8

5982 9937

2749 1480

1029 810

6~ 603

5-7

middot506 474

450 430 414

400 389 379 371 363

356 351

middot345 middot3~1

336

332 329 326 323 320

317 299

282 266 251

9

6022 9939 2735 1466

1016 798

6~ 591middot

_ 535

494 463 439 419 403

389 378 368 360 352

3A6 340 335 330

326

322 318 315 ~12 309

307 289

272 256 241

$ sectIJ

~~r ~

~ H-I ~~

lgtdt ~gt+ 1shy~ i1iE Kt utIt ~ ~ amp1m

~ ~ IID ~

IlIllf~ H ~ Illl ~~ 1gt-1

- ~ ~Illll ~

~

_ 2 (df)

I 4052 49995 2 9850 9900 3 3412 3082

4 2120 1800

middot5 1626 1327 6 1375 1092 7 1225 955 8 1126 865 9 1056 802

10 1004 756 11 965 721 12 933 693 13 -907 610 14 ss6 651

15 868 636middot 16 853 623 17 840 611 18 829 601 19 818 593

20 810 585 21 802 S78

22 795 572 23 788 566

24 782 561

2S 777 557 26 772 553 27 768 549 28 764 545 29 760 542

30 756 539 40 731 518 60 708 498

120 685 479 co 663 461

3 shy

S403 S62S 9917 2946 1669

1206 978 845 759middot 699

-655 622 595 574 556

542 529 518 509 501

494 487 482 476

472

468 464 460

457 454

451 431 413 395 378

9925 2871 1598

1139 915 785 701 642

599 567 541 521 504

489 417 467 458 450

443 437 431 426 422

418 middotU4middot 411 407 404

402 383 365 348 332

$ 6

5764 5859 9930 9933 2824 2791 1552 1521

1097 1067 87S 847 746 719 663 637 6(16 580

564 539 532 5C17 506 482 486- 462 469 446

456 432 4~ 420 434 410 425 401 417 394

410 387 4middot04 381 399 376 394 371 390 367

385 363 382 359 378 356 375 353 373 350

370 347 351 329 334 312 317 296 302 280

TABLE 7 (Continued)

6056 6106 9940 9942 2723 2705 1455 1437

1005 989 787 772 662 647 581 567 526 511

485 471 454 440 430 416 410 396 394 380

380 367 369 355 359 346 351 337 343 330

337 323 331 317 326 312 321 307 317 303

313 299 309 296shy306 i93 303 290 300 287

298 284 280 266 263 250 247 234 232 218

(df)

10 2 $ 1() 24 30 4) 60 110 00 (d

6157 6209 6235 6261 6287 6313 9943 9945 9946 9947 9947 9948 2687 2669 2660 2650 2641 2632 1420 1402 133 1384 13~5 1365 972 955 947 938 929 920 756 740 731 723 714 706 631 616 607 599 591 582 552 536 528 520 512 503 496 481 473 465 457 448middot 456 441 433 425 417 408 425 410 402 394 386 378 401 386 378 370 362 354 382 366 359 351 343 334 366 351 343 335 327 318 352 337 329 j21 313 305 341 326 118 310 302 293 331 316 308 300 292 283 323 308 v 300 292 284 275 315 300- 292 284 276 267

309 294 286- 278 269 261 301 288 280 272 264 2S5 298 283 275 267 258 250 293 278 270 262 254 245

274 289 266 258 249 middot240 285 270 262 254 245 236 281 266 258 middot250 242 233

278 263 255 247 238 229 275 260 252 244 235 226 273 257 249 241 233 223 270 255 247 239 230 221 252 237 229 220 loll 202 235 220 212 203 194 184 219 203 195 186 176 166 204 188 179 170 159 147

6339 9949

2622 1356

911 697 574 495 440

400 369

_ 345 325 309

296 284 275 266 258

252 246 240 235 231

227 223 220 217 214

211 192 173 153 132

6366 1 9950 2 2613 3 1346 ~

902 688

565 i 486 ~

431 S

391 Ie 360 U 336 1

317 13 300 14

287 1~

275 I 265 Ii 257 U 249 IS

242 X 236 21 231 ~ 226 2 221 2A

217 ~

213 2

210 Zi 206 2E

203 2S

201 3(

180 4(

160 6(

138 IX 100 co

From Tables of Percen~ Points of the Inverted Beta (F) Distribution Bwlrika Vol 33 (194 pp 73-88 by Maxinc Mmngton and Catherine M Thompson Reproduced by permission of Profes Eo S peanon