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 in the following table.StatisticMenWomenSample mean24.5122.69Sample standard deviation4.483.86Sample size3540At 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?Required:Compute the test statistic?Note: Round your answer to 2 decimal places.2. Compute the p-value? Note: Round your answer to 4 decimal places.

StatisticMenWomenSample mean24.5122.69Sample standard deviation4.483.86Sample size3540

Answered: A recent study focused on the number of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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 in the following table.

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

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?

Required:

Compute the test statistic?

Note: Round your answer to 2 decimal places.

2. Compute the p-value?

Note: Round your answer to 4 decimal places.

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