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? There is statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive. There is not statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive. There are not enough data points to reach a conclusion. The tied value makes the analysis suspect.

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? There is statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive. There is not statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive. There are not enough data points to reach a conclusion. The tied value makes the analysis suspect.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?

There is statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
There is not statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
There are not enough data points to reach a conclusion.
The tied value makes the analysis suspect.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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