Husband and Wife Ages as Paired Data Exercise 2.213 introduces a dataset giving the ages of the two people getting married for a sample of 105 marriage licenses. All of the couples in the sample were male-female couples. We are interested in whether the sample provides evidence that husbands are, on average, older than their wives. Because this is paired data (with each husband paired with his wife), we answer this question by first finding the difference in ages (Husband’s age minus Wife’s age) for each couple. For the 105 differences, the mean difference is 2.829 years with a standard deviation of 4.995. Test to see if, when getting married, the average age of husbands is greater than the average age of wives. Show all details of th

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Husband and Wife Ages as Paired Data Exercise 2.213 introduces a dataset giving the ages of the two people getting married for a sample of 105 marriage licenses. All of the couples in the sample were male-female couples. We are interested in whether the sample provides evidence that husbands are, on average, older than their wives. Because this is paired data (with each husband paired with his wife), we answer this question by first finding the difference in ages (Husband’s age minus Wife’s age) for each couple. For the 105 differences, the mean difference is 2.829 years with a standard deviation of 4.995. Test to see if, when getting married, the average age of husbands is greater than the average age of wives. Show all details of the test.

 

State the hypotheses. μdμd is the mean difference in ages of all male-female married couples.
 
H0 : μd _____ 0

Ha : μd_______0

 

PLEASE ANSWER THIS QUESTION I NEED HELP

Find test statistic and p-value.

Test statistic =  __________ (round to one decimal place)
p-value =  _________ (round to three decimal places)

 

What do you conclude?

 

a) Reject H0. We have evidence that mean age is greater for husbands.
b) Do not reject H0. We do not have evidence that mean age is greater for husbands.
c) Do not reject H0. We have evidence that mean age is greater for husbands.
d) Reject H0. We do not have evidence that mean age is greater for husbands.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman