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 Sample mean Sample standard deviation Sample size Men 24.07 5.70 36 Women 21.55 4.64 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? a. State the decision rule for 0.01 significance level: H: Umen WWomen Hi: MMen Mwomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject HO ift b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic