Lester Hollar is vice president for human resources for a largemanufacturing company. In recent years, he has noticed an increasein absenteeism that he thinks is related to the general health ofthe employees. Years ago, in an attempt to improve the situation,he began a fitness program in which employees exercise during theirlunch hour. To evaluate the program, he selected a random sample ofeight participants and found the number of days each was absent inthe six months before the exercise program began and in the lastsix months. Below are the results. Use a 0.05 significance leveland determine if it is reasonable to conclude that the number ofabsences has decline? Use this information to solve the followingquestions.
A. What is the null hypothesis statement for this problem?
B. What is the alternative hypothesis statement for thisproblem?
C. What is alpha for this analysis?
D. What is the most appropriate test for this problem? (chooseone of the following)
a. t-Test: Paired Two Sample for Means
b. t-Test: Two-Sampled Assuming Equal Variances
c. t-Test: Two-Sample Assuming Unequal Variances
d. z-Test: Two Sample for Means
E. What is the value of the test statistic for the mostappropriate analysis?
F. What is the lower bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
G. What is the upper bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
H. Is it reasonable to conclude that the number of absences hasdecline? (choose one of the following)
a. Yes
b. No
I. What is the p-value for this analysis? (Hint: Use this valueto double check your conclusion)
| Employee | Before | After |
| 1 | 6 | 5 |
| 2 | 6 | 2 |
| 3 | 7 | 1 |
| 4 | 7 | 3 |
| 5 | 4 | 3 |
| 6 | 3 | 6 |
| 7 | 5 | 3 |
| 8 | 6 | 7 |
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