Test whether there is a difference in the mean of times men and women and determine the p-value.
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.
|
Statistic
|
Men
|
Women
|
|
Sample mean
|
24.51
|
22.69
|
|
Population standard deviation
|
4.48
|
3.86
|
|
Sample size
|
35
|
40
|
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? What is the p-value?