3 Total 10 Points Data Were Collected On Annual Personal Time In Hours Taken By A Random Sample Of 16 Women And 7 1 (40.38 KiB) Viewed 116 times
3. (Total: 10 points) 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 houes. The men took an average 21. 86 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. 1) (2 points) What assumptions we need to check for the Human Resources Department's claim? [Write Your Answer Here] 2) (2 points) Write the null and alternative hypotheses HO: Hai 3) (6 points) Based on ONE of the EXCEL outputs below, test hypothesis using (1) a p-value apprioach and (2) a critical value approach, and state your conclusion using a = 0.05. Assuming that all the assumptions are satisfied. (Hint: Choose the ONLY ONE output based on the assumptions). [Write Your Answer Here] p-value approach Critical value approach
t-Test: Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Equal Variances Men 21.857 10.810 7 Men 21.857 10.810 7 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail PIT<=t) two-tail t Critical two-tail Women 24.750 8.067 16 0 10 2.021 0.035 1.812 0.071 2.228 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Women 24.750 8.067 16 8.850 0 21.000 2.146 0.022 1.721 0.044 2.080 3 3
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