Question

A company is evaluating the impact of a wellness program offered on-site as a means of reducing employee sick days. A total of 8 employees agree to participate in an evaluation that lasts 12 weeks. Their sick days in the 12 months prior to the start of the wellness program and again over the 12 months after the completion of the program are recorded and are shown below. Assess whether there is a significant reduction in the number of sick days taken after completing the wellness program at a 5% level of significance. Assume that the data does not follow a normal distribution.

Employee	Sick Days Taken in 12 Months Prior to Program	Sick Days Taken in 12 Months Following program
1	8	7
2	6	6
3	4	5
4	12	11
5	10	7
6	8	4
7	6	3
8	2	1

Answer 1

-------SOLVED THIS PROBLEM USING MINITAB-----

HERE WE HAVE TO USE T-TEST FOR TWO SAMPLE OBSERVATION

NULL HYPOTHESIS IS- MEANS OF TWO DIFFERENT WAYS ARE EQUAL

ALTERNATIVE HYPOTHESIS-MEANS OF TWO DIFFERENT WAYS ARE NOT EQUAL

-------THE OUTPUT OF MINITAB IS------

HERE, TEST STATISTIC

From above output-

p-value=0.353>0.05

then at 5% level of significance we do not reject the null hypothesis

i.e sick days taken 12 month prior and 12 month following the program are same.