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 24.51 22.69 Sample standard deviation 4.48 3.86 Sample size 35 40

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 24.51 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?

 

  1. State the decision rule for 0.01 significance level: H0μMenμWomen    H1μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

 
  1. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

 

 
  1. What is your decision regarding the null hypothesis?

 

 
  1. What is the p-value? (Round your answer to 3 decimal places.)

 

 
 
 
 
 
 
 
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