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 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? Required: a. State the null and alternate hypotheses. Test statistic Men 25.45 5.91 37 Ho: "Men ="Women H₁: Men Women Women O Ho: Men /Women H₁: Men # O Ho: Men * PWomen H₁: Men Women b. Compute the test statistic. (Round your answer to 3 decimal places.) Women 22.04 4.68 40 p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) Reject Do not reject d. What is your decision regarding the null hypothesis? e. 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 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 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? Required: a. State the null and alternate hypotheses. Test statistic Men 25.45 5.91 37 Ho: "Men ="Women H₁: Men Women Women O Ho: Men /Women H₁: Men # O Ho: Men * PWomen H₁: Men Women b. Compute the test statistic. (Round your answer to 3 decimal places.) Women 22.04 4.68 40 p-value c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) Reject Do not reject d. What is your decision regarding the null hypothesis? e. 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text: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
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?
Required:
a. State the null and alternate hypotheses.
Test statistic
Men
25.45
5.91
37
Ho: Men = MWomen H₁: Men
Women
Women
O Ho: PMen Women H₁: Men
#
O Ho: Men * PWomen H₁: PMen # "Women
b. Compute the test statistic. (Round your answer to 3 decimal places.)
Women
22.04
4.68
40
p-value
c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.)
O Reject
O Do not reject
d. What is your decision regarding the null hypothesis?
e. 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?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 12 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman