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Data were collected on annual personal time (in hours) taken by a random sample

ID: 3156780 • Letter: D

Question

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 21.89 hours of personal time per year 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. The results of the test are t= 2.02 with an associated P-value of 0.0352. What is the correct conclusion at a= 0.05?

Explanation / Answer

As p=0.0352 and level of significance is 0.05

As p<0.05

we can easily reject H0 and accept Ha

Hence Women tend to take more personal time than men.