Question: Sociology: Marriage The following problem is based on information from an article by N. Keyfitz in The American Journal of Sociology (vol. 53, pp. 470-480). Let \(x=\) age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of \(x\) was approximately \(\sigma^{2}=5.1\). Suppose that a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance \(s^{2}=3.3\). Use a \(5 \%\) level of significance to test the claim that the current variance is less than 5.1. Find a \(90 \%\) confidence interval for the population variance.

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