Question

Do women tend to spend more time on housework than​ men? If​ so, how much​ more? A study reported the results shown in the table to the right for the number of hours spent on housework per week. Complete parts a through d below.			Housework Hours
		Gender	Sample Size	Mean	Standard Deviation
		Women	474	30.5	13.7
		Men	493	15.0	12.6

A. Based on this​ study, calculate how many more hours per​ week, on the​ average, women spend on housework than men.

On​ average, women spend_____ more hours per week on housework.

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?

The standard error is se = _____

​(Round to four decimal places as​ needed.)

The ______ cause 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 ​(μW​) and men (μM​). Interpret the result including the relevance of 0 being within the interval or not.

The​ 95% confidence interval for ​(μW−μM​) is from ____ to ______

​(Round to two decimal places as​ needed.)

The values in the​ 95% confidence interval ______, which implies that the population mean for women _____ the population mean for men.

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

Upon which assumptions below is the interval​ based? Select all that apply.

A. The standard deviations of the two populations are approximately equal.

B. The population distribution for each group is approximately normal.

C. The samples from the two groups are random.

D. The samples from the two groups are independent.

Answer 1