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.

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? What is thep-value?

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Statistic Sample mean Sample standard deviation Sample size Men 24.51 4.48 35 Women 22.69 3.86 40