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.

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

1. Are the assumptions and conditions for carrying out the t-test for two means satisfied? Explain.
2. Write the null and alternative hypotheses.
3. Based on the test statistic and its P-value, state your conclusion using α = .05.
4. Create and interpret a 90% confidence interval.

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