How Much Older Are Husbands? 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 see in Exercise 6.272 that the average age of husbands is greater than the average age of wives. Here, we wish to estimate how much older husbands are than their wives. Because this is paired data, 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. Find a 95% confidence interval for the mean difference in ages between a husband and a wife. Round to three decimal places.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
How Much Older Are Husbands? 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 see in Exercise 6.272 that the average age of husbands is greater than the average age of wives. Here, we wish to estimate how much older husbands are than their wives. Because this is paired data, 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. Find a 95% confidence interval for the mean difference in ages between a husband and a wife. Round to three decimal places.
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