chapter 7 active review elementary statistics

8/10/2019 Chapter 7 Active Review Elementary Statistics

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1Copyright 2014, 2010, 2007 Pearson Education, Inc.

Active Learning Lecture Slides

Elementary StatisticsTwelfth Edition

and the Triola Statistics Series

by Mario F. Triola


Chapter 7:

Estimates and Sample Sizes


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Find the critical value for z/2

that corresponds

to a level of confidence of 98%.

A. 2.7

!. 2.""

C. #.7

$. 2.


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Find the critical value for z/2

that corresponds

to a level of confidence of 98%.

A. 2.7

!. 2.""

C. #.7

$. 2.

#& = 0.98/2 = 0.01


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Copyright 2014, 2010, 2007 Pearson Education, Inc.

Find the mar'in of error for the 9%confidence interval used to estimate the

population proportion (ith n) #*" andx) 9*.

A. .*8!. .7

C. .#"2

$. .29#


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!Copyright 2014, 2010, 2007 Pearson Education, Inc.

Find the mar'in of error for the 9%confidence interval used to estimate the

population proportion (ith n) #*" andx) 9*.

A. .*8!. .7

C. .#"2

$. .29#


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"Copyright 2014, 2010, 2007 Pearson Education, Inc.

+9 randoml, selected li'ht -ul-s (ere testedin a la-orator, 29# lasted more than

hours. Find a point estimate of the trueproportion of all li'ht -ul-s that last more than hours.

A. .*"2

!. ."**

C. ."88

$. .*"+


8/45$Copyright 2014, 2010, 2007 Pearson Education, Inc.

/se the confidence level and sample data tofind the mar'in of error E.

Colle'e students0 annual earnin's:

99% confidence n) 7+x) 1"9*7 ) 187+

A. 12*2

!. 19

C. 12"7

$. 1##87


9/45%Copyright 2014, 2010, 2007 Pearson Education, Inc.

/se the confidence level and sample data tofind the mar'in of error E.

Colle'e students0 annual earnin's:

99% confidence n) 7+x) 1"9*7 ) 187+

A. 12*2

!. 19

C. 12"7

$. 1##87

E for mean (hen is known


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o find the standard deviation of the diameterof (ooden do(els the manufacturer

measures #9 randoml, selected do(els andfinds the standard deviation of the sample to-e s) .#*. Find the 9% confidence intervalfor the population standard deviation .

A. .#" 3 < .22

!. .#2 3 < .2+

C. .## 3 < .2

$. .# 3 < .2#


11/4511Copyright 2014, 2010, 2007 Pearson Education, Inc.

o find the standard deviation of the diameterof (ooden do(els the manufacturer

measures #9 randoml, selected do(els andfinds the standard deviation of the sample to-e s) .#*. Find the 9% confidence intervalfor the population standard deviation .

A. .#" 3 < .22

!. .#2 3 < .2+

C. .## 3 < .2

$. .# 3 < .2#

n 1( )s2

R2

<

A. 0 &.2!

5. 0 &.!

+. 0 &.&&!

6. 0 &.%!


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2#Copyright 2014, 2010, 2007 Pearson Education, Inc.

hen co'(uting sa'(le si/e and no esti'ate of is

8nown it is best to assu'e>

A. 0 &.2!

5. 0 &.!

+. 0 &.&&!

6. 0 &.%!


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2$Copyright 2014, 2010, 2007 Pearson Education, Inc.

@ow 'any adults 'ust be surveyed in order to be %!

confident that the sa'(le (ercentage is in error by no

'ore than three (ercentage (oints Bse a recent result

fro' the +ensus 5ureau indicating that "" of adults buyclothing online. Cound to ne


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2%Copyright 2014, 2010, 2007 Pearson Education, Inc.

@ow 'any adults 'ust be surveyed in order to be %!

confident that the sa'(le (ercentage is in error by no

'ore than three (ercentage (oints Bse a recent result

fro' the +ensus 5ureau indicating that "" of adults buyclothing online. Cound to ne


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3&Copyright 2014, 2010, 2007 Pearson Education, Inc.

)n order to esti'ate the 4o(ulation Mean we 'ust 8now

that the 4o(ulation is nor'ally distributed or that

A.The (o(ulation is cra/y

5.The confidence level is %%

+.The sa'(le si/e is greater than 3&

6.The 'argin of error is less than 1.


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)n order to esti'ate the 4o(ulation Mean we 'ust 8now

that the 4o(ulation is nor'ally distributed or that

A.The (o(ulation is cra/y

5.The confidence level is %%

+.The sa'(le si/e is greater than 3&

6.The 'argin of error is less than 1.


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To locate a critical value in a T6istribution table we need

to 8now the level of confidence as well as the

A.6egree of freedo'

5.Margin of Error

+.+onfidence )nterval

6.=one of the above o(tions.


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To locate a critical value in a T6istribution table we need

to 8now the level of confidence as well as the

A.6egree of freedo'

5.Margin of Error

+.+onfidence )nterval

6.=one of the above o(tions.


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)f 'y sa'(le si/e 0 1! the degree of freedo' that ) need

for loo8ing u( a critical value in the T6istribution table is

A.1!

5.3&

+.2

6.1


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3!Copyright 2014, 2010, 2007 Pearson Education, Inc.

)f 'y sa'(le si/e 0 1! the degree of freedo' that ) need

for loo8ing u( a critical value in the T6istribution table is

A.1!

5.3&

+.2

6.1


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3"Copyright 2014, 2010, 2007 Pearson Education, Inc.

The e


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3#Copyright 2014, 2010, 2007 Pearson Education, Inc.

The e


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3$Copyright 2014, 2010, 2007 Pearson Education, Inc.

)n a test of the effectiveness of garlic % subects were

treated with doses of raw garlic and their cholesterol

levels were 'easured before and after the treat'ent.

The changes in their levels of L6L cholesterol Cin 'g:dLDhave a 'ean of &. and a standard deviation of 21.&.

hat is the Margin of Error Assu'e a +onfidence Level

of %!.

A.3.1%"

5.".&2#

+.21.3%

6.%.2"


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3%Copyright 2014, 2010, 2007 Pearson Education, Inc.

)n a test of the effectiveness of garlic % subects were

treated with doses of raw garlic and their cholesterol

levels were 'easured before and after the treat'ent.

The changes in their levels of L6L cholesterol Cin 'g:dLDhave a 'ean of &. and a standard deviation of 21.&.

hat is the Margin of Error Assu'e a +onfidence Level

of %!.

A.3.1%"

5.".&2#

+.21.3%

6.%.2"

0 &.&!.

n0 %df 0 % G 1 0 $

+losest df is !&

so 0 2.&&%

s0 21.&

2a

t

2

/a

E t s n=


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&Copyright 2014, 2010, 2007 Pearson Education, Inc.

As the sa'(le si/e ngets larger the Studenttdistribution

gets

A.flatter

5.s8ewed

+.+loser to the nor'al distribution

6.=one of the above o(tions is correct.


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As the sa'(le si/e ngets larger the Studenttdistribution

gets

A.flatter

5.s8ewed

+.+loser to the nor'al distribution

6.=one of the above o(tions is correct.


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Assu'e that we want to esti'ate the 'ean )* score for

the (o(ulation of statistics students. e are told that the

'a


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hat is the 'ini'u' re-uired sa'(le si/e for an esti'ate

of (o(ulation variance 2 if you want to be %% confident

that the sa'(le variance is within ! of the (o(ulation

variance

A.#"$

5.31%

+.!!$

6.133"


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hat is the 'ini'u' re-uired sa'(le si/e for an esti'ate

of (o(ulation variance 2 if you want to be %% confident

that the sa'(le variance is within ! of the (o(ulation

variance

A.#"$

5.31%

+.!!$

6.133"See Table #2 4g. 3"#

chapter 7 active review elementary statistics

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