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 in the following table.

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?

a. State the null and alternate hypotheses.

b. Compute the test statistic.

c. Compute the p-value.

d. What is your decision regarding the null hypothesis?

e. Interpret the result.

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Statistic Men Women Sample mean 24.51 22.69 Sample standard deviation 4.48 3.86 Sample size 35 40