# Employment by gender The study described in Exercise 10.16 also evaluated the weekly time spent…

Employment by gender The study described in Exercise 10.16 also evaluated the weekly time spent in employment. This sample comprises men and women with a high level of labor force attachment. Software shows the results.

a. Does it seem plausible that employment has a normal distribution for each gender? Explain.

b. What effect does the answer to part a have on inference comparing population means? What assumptions are made for the inferences in this table? c. Explain how to interpret the confidence interval. d. Refer to part

c. Do you think that the population means are equal? Explain.

Exercise 10.16

Housework for women and men Do women tend to spend more time on housework than men? If so, how much more? Based on data from the National Survey of Families and Households, one study reported the results in the table for the number of hours spent in housework per week.

a. Based on this study, calculate how many more hours, on the average, women spend on housework than men.

b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two groups?

c. Calculate the 95% confidence interval comparing the population means for women and men. Interpret the result including the relevance of 0 being within the interval or not.

d. State the assumptions upon which the interval in part c is based.

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