Question 323648: 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. Four 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. At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.
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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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. Four 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. At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.
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
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Ho: ud = 0
Ha: ud > 0
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d: 1,4,6,4,1,3,2,-1
ud = 2.5 and sd = 2.2
----
t(2.5) = (2.5-0)/[2.2/sqrt(8] = 3.2141
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p-value = P(t> 3.2141 when df=7) = 0.0074
----
Since the p-value is less than 5%, reject Ho.
Test supports conclusion that abcences have
declines.
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Cheers,
Stan H.
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