Signed-Rank Test
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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 the evaluation which 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. Is there a significant reduction in the number of sick days taken after completing the wellness program? Use the Sign Test at a 5% level of significance.
Complete the table below.
Employee Sick Days Taken in 12 Months Prior to Program Sick Days Taken in 12 Months Following program Difference (Reduction = Prior-After )
Sign
1 8 7 ( ) ( )
2 6 6 ( ) ( )
3 4 5 ( ) ( )
4 12 11 ( ) ( )
5 10 7 ( ) ( )
6 8 4 ( ) ( )
7 6 3 ( ) ( )
8 2 1 ( ) ( )
Alpha= ________
n= ________
Critical value= ________
Smaller of the number of positive or negative signs= ________
Based on comparing the smaller of the number of positive or negative signs to the Critical value which of the following is (are) true?
A. There is statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
B. There is not statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
C. There are not enough data points to reach a conclusion.
D. The tied value makes the analysis suspect.
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Solution Summary
An explanation of the steps is provided. The final answers are provided. The solution is available in text form as well as in a Microsoft Word file.
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
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- "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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