SOLUTION: The management of a hospital wishes to investigate the effect of the four-day week on absenteeism. Two random samples of 40 were selected; employees of group. A worked 10-hour day
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Question 1187176: The management of a hospital wishes to investigate the effect of the four-day week on absenteeism. Two random samples of 40 were selected; employees of group. A worked 10-hour days (four-day week) and group B worked eight-hour days (five-hour week). If group A averaged four hours of absenteeism per week with a standard deviation of 1.2 and group B averaged 4.4hours of absenteeism per week with a standard deviation of 1.5; should we conclude that the shorter work week reduces absenteeism at 5% level of significance? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho: A=B
Ha: A NE B
alpha=0.05 P{reject Ho|ho true}
test stat is a t (0.975,df=78)
critical value is |t|>1.991
t=(mean A-mean B)/sqrt (sA^2/nA + sB^2/nB)
=(-0.4)/(sqrt [(1.44/40)+(2.25/40)]
=-0.4/sqrt(3.69/40)
=-1.32
Fail to reject Ho; insufficient evidence to say that there is a difference.
p-value=0.19.
