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	24.38	22.36
Sample standard deviation	5.91	4.80
Sample size	33	37

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} Correct
• 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 Correct

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 Correct