Arecent 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: 24.51 22.69
sample standard deviation: 4.48 3.86
sample size: 35 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 decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen.(negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.)
reject h0 if t < or t >
b. compute the value of the test statistic. (round your answer to 3 decimal places.)
value of the test statistic is
c. what is your decision regarding the null hypothesis? (answered)
the decision is do not reject the null hypothesis that the means are the same.
d. what is the p-value? (round your answer to 3 decimal places.)
p-value is