Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family.   Personal Time (Hours)   Women Men 25         21 22 22         27 21 19         29 24 25        26 27 24        30 19 25        27 23 24       26 17 23       23       At Alpha = 0.05,     we reject the alternative hypothesis.     we fail to reject the null hypothesis.     we can conclude that women take a smaller average number of hours of personal time per year compared to men.     we reject the null hypothesis. There is strong evidence that women take a higher average number of hours of personal time per year compared to men.

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Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.86 hours with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family.

 

Personal Time (Hours)  
Women Men
25         21 22
22         27 21
19         29 24
25        26 27
24        30 19
25        27 23
24       26 17
23       23  

 

 

At Alpha = 0.05,

   

we reject the alternative hypothesis.

   

we fail to reject the null hypothesis.

   

we can conclude that women take a smaller average number of hours of personal time per year compared to men.

   

we reject the null hypothesis. There is strong evidence that women take a higher average number of hours of personal time per year compared to men.

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