A recent study focused on the number of times men and women wholive alone buy take-out dinner in a month. Assume that thedistributions follow the normal probability distribution and thepopulation standard deviations are equal. The information issummarized below.
| Statistic | Men | Women |
| Sample mean | 24.53 | 21.89 |
| Sample standard deviation | 5.69 | 4.66 |
| Sample size | 35 | 39 |
|
At the 0.01 significance level, is there a difference in themean number of times men and women order take-out dinners in amonth?
State the decision rule for 0.01 significance level:H0: μMen=μWomen  H1:μMen ≠μWomen. (Negativevalues should be indicated by a minus sign. Round your answers to 3decimal places.)
Compute the value of the test statistic. (Round youranswer to 3 decimal places.)
What is your decision regarding the null hypothesis?
What is the p-value? (Round your answer to 3decimal places.)
