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 24.53 21.17 Sample standard deviation 5.50 4.52 Sample size 34 36

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?

Required:

a. State the null and alternate hypotheses.

multiple choice 1 H0: Men = Women H1: Men Women H0: Men Women H1: Men = Women H0: Men Women H1: Men Women

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

c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)

d. What is your decision regarding the null hypothesis?

multiple choice 2 Reject Do not reject

e. 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?

multiple choice 3 Yes No