Question 17 (5 points) A gym teacher uses three exercises to increase arm streng

Question

Question 17 (5 points)

A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. What is the correlation between pull –ups and the time to climb the rope?

Push-ups Pull-ups Rope Climb

16 13 69

18 20 56

24 25 46

22 18 59

19 15 65

17 19 68

23 22 49

21 21 52

20 16 63

16 17 74

Question 17 options:

0.709

0.003

-0.829

-0.882

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Question 18 (5 points)

Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent.

A 30 28 47 43 31

B 28 24 25 35 22

Assume that the paired data came from a population that is normally distributed.

Question 18 options:

(-15.341, 15.431)

(-0.696, 18.700)

(-0.113, 12.761)

(-1.324, 8.981)

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Question 19 (5 points)

Based on the box-plot below, the first 50% of the data falls between ...

Question 19 options:

0 and 6

3 and 12

6 and 16

3 and 16

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Question 20 (15 points)

Nine salespeople took the “Great sales tactics” training. Their average sales (in $1000) amounts per month before and after the training are listed below. Use = 0.05. Assume that the distribution is normally distributed.

Salespeople Before After

1 720 740

2 860 860

3 850 840

4 880 920

5 860 890

6 710 720

7 850 840

8 1200 1240

9 950 970

Test the claim that the training had no effect on their sales amounts using Data Analysis Toolpack. (15 pts)

A) Which test is appropriate for this test? Do you need to use F-test first? If yes, perform it, and report and interpret the results.

B) Set H0 and H1 and Interpret (explain what each one means in the context of the problem.)).

C) Report your findings using p-value OR critical value approach (not both). Interpret your conclusion in the context of the problem.

Explanation / Answer

Q.17

Using Minitab,

Correlations: push up, Rope climb

Pearson correlation of push up and Rope climb = -0.882

Hope this will be helpful.

Please post remaining sapearately. Thanks and God Bless You :-)

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