In: Statistics and Probability
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 | 21.89 | 
| Sample standard deviation | 5.69 | 4.66 | 
| Sample size | 35 | 39 | 
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?
State the decision rule for 0.01 significance level: H0: μMen= μWomen H1: μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
What is your decision regarding the null hypothesis?
What is the p-value? (Round your answer to 3 decimal places.)


Please go through the solution . Everything and every calculation has been done in a detailed manner