INSTRUCTIONS
Students are required to work in small groups. Each group is to do the five problems on the following pages. The complete solutions to all problems must be turned in on December 10 th at 12:40 P.M.
Group 1 is to give an oral presentation on problem 3.
Group 2 is to give an oral presentation on problem 4.
Group 3 is to give an oral presentation on problem 5.
Each presentation must include four components:
1) A statement of the problem including the importance of such a problem.
2) The relevant formulas and underlying theory.
3) The data collection process.
4) The conclusions and interpretation of the results obtained.
Each group member must participate in the presentation.
A score of 1, 2, or 3 will be given for each presentation.
A score of 1 will yield 10 extra points.
A score of 2 will yield 8.5 extra points.
A score of 3 will yield 7 extra points.

Each group must collect their own data. No sharing of calculations or data from other groups is permitted.
Senator Hayes is considering a run for the U.S. presidency, but she is only 35 years of age, which is the minimum required age. Investigate this issue by finding the ages of 40 past presidents when they were inaugurated, and complete the table.
List of Presidents
1.
President
Barak Obama
Age at Inauguration
47 years
President Age at Inauguration

a) Mean
Mean: ____________ b) Median
Median: ____________ c) Mode
Mode: ______________ d) Midrange
Midrange: ____________ e) Range
Range: _______________ f) Standard deviation
Standard deviation: ___________ g) Variance
Variance: ______________ h) 𝑄
1
𝑄
1
: ______________ i) 𝑄
3
𝑄
3
: ______________ j) 𝑃
10
𝑃
10
: ______________

2) a) John F. Kennedy was 43 years of age when he was inaugurated. Using the results from part 1, convert his age to a z score.
Z score : _______________ b) Unusual values are those with z < - 2 or z > 2.
Is Kennedy’s age of 43 years “Unusual”? Why or why not? c) President Barak Obama was 47 years of age when he was inaugurated. Using the results from part 1, convert his age to a z score. Is Obama’s age of 47 years “Unusual”? Why or why not?
Z score : _______________ d) Although the list of ages does not include an age of 35 years, would that age be unusual?
Is it likely that a presidential candidate of age 35 would find that his or her age would be a major campaign issue? e) Using the same ages listed in part 1, construct a frequency distribution. Use five classes with
40 as lower limit of the first class, and use a class width of 5.

Age
40 - 44
45 - 49
50 - 54
55 - 59
60 - 64
65-69
Frequency f) Using the frequency distribution in (3), construct a histogram and identify the general nature of the distribution (such as uniform, bell-shaped, skewed). g) Using the same ages listed in part 1, construct a box-plot and identify the values constituting the 5-number summary.
Minimum:_______________
𝑄
1
: ______________
𝑄
2
: ______________
𝑄
3
: ______________
Maximum:______________
Box- plot h) Assume the ages of past, present, and future presidents have a bell-shaped distribution with a mean of 54.8 years and a standard deviation of 6.2 years.
1.
What does the empirical rule say about the percentage of ages between 48.6 years and
61.0 years?
Percentage: __________________
2.
What does the empirical rule say about the percentage of ages between 42.4 years and
67.2 years?

Percentage: __________________ i) An industrial psychologist for the Citation Corporation develops two different tests to measure job satisfaction. Which score is better: a score of 72 on the management test, which has a mean of 80 and a standard deviation of 12 or a score of 19 on the test for production employees, which has a mean of 20 and a standard deviation of 5. Explain
3) Ask 32 women and 30 men if they watch professional football games. Use a .10 significance level to test the claim that a higher proportional of men watch professional football games than the proportion of women who watch professional football games.
1.
Pooled proportion = ____________________
2.
Test Statistic =_________________
3.
P-value = ________________
4.
Confidence Interval = ___________________
5.
Conclusion : a) Reject 𝐻
0
___________________
b) Do not reject 𝐻
0
___________________
4) Shoe sizes for males and females are calibrated differently. That is a shoe-size of 9 for a male is not the same as a size 9 for a female.
Ask 15 females and 18 males their shoe size. Test the claim at the .01 significance level that the calibrated mean shoe size is different for males and females. 𝒏 𝒙 𝒔
1.
Test Statistic = __________________
Male
18
2.
Confidence Interval = __________________
3.
Conclusion : a) Reject 𝐻
0
___________________
Female
15

b) Do not reject 𝐻
0
___________________
5) Ask 13 students at the college the amounts they spent on text books to the nearest dollar in the first and second semester.
Complete the table below and test the claim at the 𝛼 = .05 level that the amounts are different for each semester. Use both the traditional method and the confidence
Interval method.
Student
1 𝑠𝑡 𝑠𝑒𝑚𝑒𝑠𝑡𝑒𝑟
1 2 3 4 5 6 7 8 9 10 11 12 13
2 𝑛𝑑 𝑠𝑒𝑚𝑒𝑠𝑡𝑒𝑟 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒
1.
𝑑 𝑚𝑒𝑎𝑛
= ______________________
2.
𝑇𝑒𝑠𝑡 𝑆𝑡𝑎𝑡𝑖𝑠𝑡𝑖𝑐 = ____________________
3.
𝐶𝑜𝑓𝑖𝑑𝑒𝑛𝑐𝑒 𝑖𝑛𝑡𝑒𝑟𝑣𝑎𝑙 = ___________________
4.
𝐶𝑜𝑛𝑐𝑙𝑢𝑠𝑖𝑜𝑛 : a) Reject 𝐻
0
___________________
b) Do not reject 𝐻
0
___________________
6) Ask 15 women their height in inches (x) and their shoe size (y) to the nearest tenth of a size. For example, a woman with height 5 feet 3 inches would be reported as 63 inches. Her shoe size might 6,
6.5, 7, or 7.5.
1.
Construct a scatter Diagram for the collected data on the back of this sheet or on a separate piece of paper.
2.
Determine the Line of Regression: 𝑦̂ = ________________
3.
Calculate the Coefficient of Correlation: 𝑟 = ________________
4.
If a woman is 68 inches tall, what is her predicted shoe size?
Ans. _____________________

*All calculations should be shown and all collected data for the student book amounts as well as that for both women and men must be presented in neat tables.