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. µa is the mean difference in ages of all male-female married couples. Ho : Hở Ha : H :: + eTextbook and Media Find test statistic and p-value. Test statistic = i (round to one decimal place) p-value = i (round to three decimal places) eTextbook and Media What do you conclude? Reject Ho. We have evidence that mean age is greater for husbands. O Do not reject Ho. We do not have evidence that mean age is greater for husbands. Do not 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. :: :: ||

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.