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 σ2 = 5.1. suppose a recent study of age at first marriage for a random sample of 41 women in rural quebec gave a sample variance s2 = 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.