Fitness Program Start with the Excel workbook (spreadsheet) Fitness Program - start.xlsx. Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results. Use a 0.05 significance level and determine if it is reasonable to conclude that the number of absences has decline? Use this information to solve the following questions. 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 a. What is the null hypothesis statement for this problem? b. What is the alternative hypothesis statement for this problem? c. What is alpha for this analysis? d. What is the most appropriate test for this problem? (choose one of the following) • t-Test: Paired Two Sample for Means • t-Test: Two-Sampled Assuming Equal Variances • t-Test: Two-Sample Assuming Unequal Variances • z-Test: Two Sample for Means e. What is the value of the test statistic for the most appropriate analysis? f. What is the lower bound value of the critical statistic? If one 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? If one 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 has decline? (choose one of the following) • Yes • No i. What is the p-value for this analysis? (Hint: Use this value to double check your conclusion)

Fitness Program - Problem Description

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Fitness Program

Start with the Excel workbook (spreadsheet) Fitness Program - start.xlsx.

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results. Use a 0.05 significance level and determine if it is reasonable to conclude that the number of absences has decline? Use this information to solve the following questions.

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

a. What is the null hypothesis statement for this problem? b. What is the alternative hypothesis statement for this problem? c. What is alpha for this analysis? d. What is the most appropriate test for this problem? (choose one of the following)

• t-Test: Paired Two Sample for Means • t-Test: Two-Sampled Assuming Equal Variances • t-Test: Two-Sample Assuming Unequal Variances • z-Test: Two Sample for Means

e. What is the value of the test statistic for the most appropriate analysis? f. What is the lower bound value of the critical statistic? If one 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? If one 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 has decline? (choose one of the

following) • Yes • No

i. What is the p-value for this analysis? (Hint: Use this value to double check your conclusion)

Page 2: Fitness Program - Problem Description

NOTE: In order to receive credit for this problem, you must show your work and you must use the appropriate formulas in Excel to answer the questions. Format all percentages as a percentage with 2 decimal places (i.e. 78.29%). Show all other numbers with 3 decimal places.