Researchers collected data from a random sample of men and women to determine if women spend more time doing housework then men. The data are below. Use a 5% level of significance to test the researchers' question. Make sure to 1. give the null and alternative hypotheses, 2. calculate the test statistic, and 3. give the conclusion (including a comparison to alpha or the critical value) to receive full credit.
|
Sex
|
n
|
Mean Hours of Housework per week
|
Standard Deviation
|
|
Men
|
4271
|
18.1
|
12.5
|
|
Women
|
6729
|
32.6
|
18.9
|