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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Ma is the mean difference in ages of all male-female married couples. Ho: = Find test statistic and p-value. II Test statistic = i p-value = i :> What do you conclude? Pd vs Ho:! I₂ 4 :: p ₂ :: p P₁ :: P₂ I (round to one decimal place) (round to three decimal places) P₁ :: P₂ r O Do not reject Ho. We do not have evidence that mean age is greater for husbands. O Reject Ho. We have evidence that mean age is greater for husbands. O Reject Ho. We do not have evidence that mean age is greater for husbands. O Do not reject Ho. We have evidence that mean age is greater for husbands. :: 0 p
Transcribed Image Text: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. Ma is the mean difference in ages of all male-female married couples. Ho: = Find test statistic and p-value. II Test statistic = i p-value = i :> What do you conclude? Pd vs Ho:! I₂ 4 :: p ₂ :: p P₁ :: P₂ I (round to one decimal place) (round to three decimal places) P₁ :: P₂ r O Do not reject Ho. We do not have evidence that mean age is greater for husbands. O Reject Ho. We have evidence that mean age is greater for husbands. O Reject Ho. We do not have evidence that mean age is greater for husbands. O Do not reject Ho. We have evidence that mean age is greater for husbands. :: 0 p
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