Question

A few years ago, Dan Jones, the VP for a large manufacturing plant, noticed an increase in absenteeism, which he thinks was related to the general health of the employees. Two 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 five participants and found the number of days each was absent in the six months before the exercises program began and in the last six months. Below are the results. Is there enough evidence to conclude that the mean number of absences has declined? Test at the 5% level of significance.

Assume the differences are approximately normally distributed.

Employee	Before	After
1	6	2
2	4	6
3	3	4
4	8	5
5	7	3

H₀:                                                     H_A:                                             

Critical Value:                                                     

Test Statistic:                                                            

Decision:                                                                                                                  

Conclusion: Circle the Correct One:

1. Yes, there is enough evidence to conclude that the mean number of absences has declined at the 5% level of significance.

2. No, there is not enough evidence to conclude that the mean number of absences has declined at the 5% level of significance.

Answer 1

Above problem is solved using Minitab, Output of Minitab is attached below,

B. No, there is not enough evidence to conclude that the mean number of absences has declined at the 5% level of significance.