1. Test the claim that for the adult population of one town, the mean annual salary is given by μ = $30,000. Sample data are summarized as n = 17, x = $22,298, and s = $14,200. Use a significance level of α = 0.05. Find the test statistic t.

2. A sample was used to obtain a 95% confidence interval for the population mean age of graduate students at a large university. The 95% confidence interval for μ was (23, 27). If the same sample had been used to test the null hypothesis that the population mean age is equal to 28 versus the alternative hypothesis that the population mean age differs from 28, would the null hypothesis be rejected at α = 0.05? Explain.