Data were collected on annual personal time (in hours) taken by a random sample of 16 women (group1) and 7 men (group 2) 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 correct null and alternative hypotheses to test this belief are

Question

Quizplus · Accepted Answer

The null hypothesis is that there is no difference in the mean personal time taken by women (µ1) and men (µ2), i.e. H0: µ1 - µ2 = 0. The alternative hypothesis is that women take more personal time than men, i.e. HA: µ1 - µ2 > 0. This is because the HR department believes that women, as the primary caregivers, take more personal time. Therefore, option C, H0: µ1 - µ2 = 0 and HA: µ1 - µ2 > 0, is the correct choice.

Data Were Collected on Annual Personal Time (In Hours) Taken