Suppose a random sample of 14 people 30–39 years of age produced the household incomes shown here. Use these data to determine a point estimate for the population variance of household incomes for people 30–39 years of age and construct a 95% confidence interval. Assume household income is normally distributed.

$37,500 ............44,800

33,500 ............36,900

42,300 ............32,400

28,000 ............41,200

46,600 ............38,500

40,200 ............32,000

35,500 ............36,800