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MATH 10140 – Exam I Thursday, Feb. 04, 2010

Name:___________________________________ Class Time: _______________________________

Do not remove this answer page, you will turn in the entire exam. You will be allowed 75 minutes to complete the test, although you may leave earlier if you are finished. Calculators are allowed. Part I consists of 12 multiple choice questions worth 4 points each. Record your answers by placing an x through one letter for each problem on this answer sheet. There will be no partial credit for any reason in this portion of the test. Part II consists of 4 partial credit problems with varying credit. Show all work on the page where the question appears, along with your answer. Please turn off and put away all cell phones and other electronic devices.

You are taking this exam under the honor code

1. a b c d e 7. a b c d e



4. a b c d e 10. a b c d e

5. a b c d e 11. a b c d e

6. a b c d e 12. a b c d e

For Grading Use

1-12

13

14

15

Total

1

Part 1, MULTIPLE CHOICE, 4 Points Each

1 The article “Tots’ TV-Watching may Spur Attention Problems” (San Luis Obispo Tribune, April5 2004) describes a study that appeared in the journal Pediatrics. In this study, researchers looked atthe records of 2,500 children who were participating in a long-term health study. they found that 10%of these children had attention disorders at age 7. They concluded that hours of television watched atage 1 and age 3 was associated with an increased risk of having an attention disorder at age 7.

Which of the following statements is true?

(a) The population of interest was TV Programs

(b) The researchers conducted a census of the population of interest for the study.

(c) A variable of interest in the study was the number of hours spent watching TV at ages 1 and 3.

(d) The population of interest was Attention Disorders.

(e) none of the above

2 Blood Loss in Burn patients A group of University of South Florida surgery researchersbelieve that the drug aprotinim is effective in reducing blood loss of burn patients who undergo skinreplacement surgery. (USF Office of Research Annual Report, 1997 - 1998.) In a clinical trial of 14burn patients, half were randomly assigned to to receive the drug and half the placebo (no drug). Apreliminary analysis of the patients’ blood loss revealed that the group with the drug had a significantreduction of bleeding. Which of the following gives the data collection method?

(a) data collected observationally (b) data from a published source

(c) data from a designed experiment (d) data from a survey


2

X

X

3 Which of the following variables are quantitative?

(I) Weight of the books carried by a students in class.

(II) Marital status of an individual applying for a bank account.

(III) The zip code of a customer at the bank.

(IV) Telephone number of a customer at the bank.

(V) Gender of an individual filling out a survey.

(a) I only (b) I and IV only (c) I, II, and IV only

(d) I, III and IV only (e) I, II, III and IV only

4 If inaccuracies in a study exist because the values of the data were wrongly recorded, which typeof bias occurs:

(a) Parameter bias (b) Measurement error (c) Non-response bias

(d) No bias (e) Selection bias

3

X

X

5 The eye color of each student in a class of 50 students was recorded. The number of students ineach category are shown in the Pie chart below. What percentage of the students in the class haveGreen eyes?

(a) 10% (b) 20% (c) 25% (d) 48% (e) 50%

6 The histogram below gives a graphical display of the ages of club members in a certain club.

Age5 55 04 54 03 53 02 52 01 5

Freq

uenc

y

6 .0

5.0

4.0

3.0

2.0

1.0

.0

Mean =34.46

Std. Dev. =10.609 N =2 8

Page 1

The first class, 15 - 20, represents the interval [15, 20) and so on. What is the age of the oldest memberof the club?

(a) 50 (b) 49 (c) 56 (d) 55 (e) Cannot be determined from the histogram

4

X

X

7 The data given in the following stem and leaf plot shows the ages of all teachers at Statsville HighSchool.

2 2 3 3 4 9 9 93 0 0 4 5 5 7 7 94 0 0 2 2 4 4 8 8 95 0 0 1 6 7 8 86 0 1 2 3 5 6 67 0 1 2

Which of the following gives a histogram of the data in the stem and leaf plot above.

NOTE the letters (a)-(d) below are on the bottom left of the corresponding graph.

(a) (b)

(c) (d)

(e) None of the above

5

X

8 For the distribution drawn here, identify the mean, the median and the mode.

A B C

(a) A = mean, B = mode, C = median (b) A = mode, B = median, C = mean

(c) A = mode, B = mean, C = median (d) A = median, B = mode, C = mean

(e) A = median, B = mean, C = mode

9 The following are the prices for 10 brands of telephones at Store X:

Brand A $71.2 Brand F $25.2

Brand B $63.4 Brand G $24.2

Brand C $56.6 Brand H $22

Brand D $56.5 Brand I $23

Brand E $31.3 Brand J $19.6

Which of the following gives the mean and the range of the data?

(a) x̄ = $39.3 Range = $51.6 (b) x̄ = $393 Range = $500

(c) x̄ = $28.9 Range = $71.2 (d) x̄ = $29.8 Range = $51.6


6

X

X

10 Find the median and the mode for the following set of data:

2 2 3 3 4 9 9 93 0 0 4 5 5 7 7 94 0 0 2 2 4 4 8 8 95 0 0 1 6 7 8 86 0 1 2 3 5 6 67 0 1 2

(a) Median = 44 Mode = 0 (b) Median = 45 Mode = 40

(c) Median = 44 Mode = 29 (d) Median = 45 Mode = 0


11 Find the sample standard deviation, s, for the following set of data (Choose the number nearest invalue to the standard deviation):

2, 5, 5, 7, 9, 9, 12.

(a) 9.42 (b)√

9.42 (c) 11 (d)√

11 (e) 7

7

X

X

12 A data set contains the following observations:

2, 3, 4, 6, 1

Find ( n∑i=1

xi

)2

−(∑n

i=1 x2i

5

)

(a) -66 (b) 204 (c) 52.8 (d) 256 (e) 242.8

8

X

PART II, Partial Credit : Show all of your work for credit.

13 (15 pts) The ages of a random sample of 25 people who purchased sports equipment on the“Fitpeople” company’s website are shown below:

19 28 11 45 33 38 29 28 27 27 28 37 18

23 19 37 37 19 29 22 34 37 45 11 19

(a) Construct a dot plot for the data given above.

(b) Circle all the words which describe the distribution of this data from those given below:

Symmetric skewed to the right skewed to the left bimodal

mound shaped has gaps unimodal

(c) Calculate the mean and median of the above data (the dot plot should help).

(d) If you were choosing one from the following three age groups to target, with an advertisement onthe “Fitpeople” website, which age group would you choose and why?

Less than 20, 20 to 40, over 40.

9

X X

28 and 28

X

14(20 points) The last page of your exam contains a set of data from the internet ranking the salariesof 34 football coaches, which should be used to answer this question. In anticipation of your desire torip out the page it is placed at the end of the exam for your convenience :)

(a) What was the median salary (in 2009) of the 34 football coaches on the list?

(b) Fill in the table and make a histogram for the above data using intervals(classes) of length 0.5 onthe axes provided below.

Interval Tally Fequency Relative Frequency Percentage[1.5, 2.0)

1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5

Salary in Millions

10

(c) Use your graph to fill in the blanks below

The average salary of the Coaches on the list is APPROXIMATELY: (use the graphto estimate).

The range of the salaries of the coaches in the group is .

Most of the Coaches in the group had salaries between and .

(d) Give one situation in which making a histogram as a graphical representation of a set of datawould be a better option than making a dot plot?

11

15(17 points) The following article appeared in Science News:

Please answer questions (a) - (g) below, concerning this study.

(a) How was the data collected in this study:

Published Sources Observational Study Designed Experiment Survey

(b) What is the Population of interest?

(c) Was the data collected from a sample or from the entire population?

(d) What was the variable(s) of interest in the study?

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(e) Was an inference made?

(f) A measure of reliability has not been given in the report, are there any other reasons to believethat this study has been carried out with proper scientific rigor?

(g) Comment briefly on the quote in the last column:

” This is really good news. It means that any little bit more activity you can do is positive for yourbrain.”

13

1/28/10 10:00 PMChart: 2009 college football coach salaries - OrlandoSentinel.com

Page 1 of 4http://www.orlandosentinel.com/sports/orl-spt-coach-salary-chart-2009,0,3767955.htmlstory

Home > Sports

Ranking the salaries of the head football coaches of the Football Bowl Subdivision (formerly Division I-A):

RankCoach School ConferenceSalary

1 Pete Carroll USC Pac-10 $4,400,000

2 Charlie Weis Notre Dame Ind. $4,200,000

3 Nick Saban Alabama SEC $3,900,000

4 Bob Stoops Oklahoma Big 12 $3,800,000

5 Les Miles LSU SEC $3,800,000

6 Jim Tressel Ohio State Big Ten $3,500,000

7 Urban Meyer Florida SEC $3,400,000

8 Kirk Ferentz Iowa Big Ten $3,030,000

9 Mack Brown Texas Big 12 $2,910,000

10 Bobby Petrino Arkansas SEC $2,900,000

11 Mark Richt Georgia SEC $2,900,000

12 Rich Rodriguez Michigan Big Ten $2,500,000

12 Bobby Bowden Florida State ACC $2,500,000

12 Gary Pinkel Missouri Big 12 $2,500,000

12 Houston Nutt Ole Miss SEC $2,500,000

16 Mark Mangino Kansas Big 12 $2,300,000

16 Paul Johnson Georgia Tech ACC $2,300,000

18 Greg Schiano Rutgers Big East $2,250,000

19 Frank Beamer Virginia Tech ACC $2,100,000

19 Butch Davis North Carolina ACC $2,100,000

21 June Jones SMU C-USA $2,000,000

21 Lane Kiffin Tennessee SEC $2,000,000

21 Gene Chizik Auburn SEC $2,000,000

24 Al Groh Virginia ACC $1,875,000

25 Bo Pelini Nebraska Big 12 $1,851,000

26 Jeff Tedford California Pac-10 $1,850,000

26 Steve Sarkisian Washington Pac 10 $1,850,000

28 Mike Sherman Texas A&M Big 12 $1,800,000

28 Art Briles Baylor Big 12 $1,800,000

28 Steve Spurrier South Carolina SEC $1,800,000

28 Mark Dantonio Michigan State Big Ten $1,800,000

32 Ralph Friedgen Maryland ACC $1,750,000

32 Mike Leach Texas Tech Big 12 $1,750,000

34 Chip Kelly Oregon Pac-10 $1,500,000

34 Joe Paterno Penn State Big Ten $1,500,000

34 Randy Edsall Connecticut Big East $1,500,000

34 David Cutcliffe Duke ACC $1,500,000

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