In an Advertising Age white paper concerning the changing role of women as "breadwinners" in the American family, it was reported that according to their survey with JWT, working men reported doing 54 minutes of household chores a day, while working women reported tackling 72 minutes daily. But when examined more closely, Millennial men reported doing just as many household chores as the average working women, 72 minutes, compared to an average of 54 minutes among both Boomer men and Xer men. The information that follows is adapted from these data and is based on random samples of 1136 men and 795 women.

a. Construct a 95% confidence interval for the average time all men spend doing household chores.
b. Construct a 95% confidence interval for the average time women spend doing household chores.

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Standard Deviation Mean 72 54 72 54 54 All Women All Men Millennial Boomers Xers 10.4 12.7 9.2 13.9 10.5 795 1136 345 475 316