A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below.

Statistic	Men	Women
Sample mean	25.57	22.33
Sample standard deviation	5.58	4.95
Sample size	36	40

At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?

a. State the null and alternate hypotheses.

b. Compute the test statistic. (Round your answer to 3 decimal places.)

c. Compute the p-value. (Round your answer to 3 decimal places.)