# Is there a difference in the mean number of times men and women order take-out dinners in a month?

27) A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.

Statistic Men Women

Sample mean 24.51 22.69

Population standard deviation 4.48 3.86

Sample size 35 40

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 the p-value?

© BrainMass Inc. brainmass.com June 3, 2020, 10:49 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/251020

#### Solution Preview

The attached file has the answers.

27) A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.

Statistic Men Women

Sample mean 24.51 22.69

Population standard deviation 4.48 3.86

Sample size 35 40

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 the p-value?

These are independent samples with large sample sizes (>30)

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?

Data

Sample 1: Men

Mean of sample 1= Xbar 1 = ...

#### Solution Summary

This solution provides the null and alternative hypothesis, the decision rule, calculation of the sample statistic, comparison of the sample statistic with the critical value, and the decision and p-value.