Data Set 11 in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n = 82, f = 35.9 years, and s = 11.1 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win Oscars is 33 years.
Use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim.