Exercise B.8 on page 307 introduces the MarriageAges dataset that contains the ages for husbands and wives from a sample of 105 marriage licenses in St. Lawrence County, New York. In that exercise we use bootstrap and randomization methods to compare ages between husbands and wives. Repeat the analyses now using technology and the methods of this unit.
(a) For couples marrying in St. Lawrence County, does the sample provide evidence that, on average, husbands are older than wives?
(b) Is the proportion of couples for which the husband is older greater than 50%?

(c) For any significant results in parts (a) and (b), construct and interpret a 95% confidence interval for the parameter of interest.

Exercise B.8

A sample of marriage licenses from 2010 to 2011 in St. Lawrence County in Northern New York State gives the ages of husbands and wives at the time of marriage for 105 newly married couples. The data are stored in MarriageAges and the first few cases from this file are shown in Table B.4. The question of interest is whether or not husbands tend to be older than their wives. Use StatKey or other technology and statistical inference to address this issue based on the questions in parts (a) and (b). In all cases be sure to interpret your findings in the context of this problem, stating to what population (if any) your findings apply.

Table B.4

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Husband 53 38 46 30 31 26 29 48 65 29 50 34 44 36 23 31 25 51 46 26 Wife