Reconsider the previous problem about the age of a college students mother when the student was born. Now suppose you want to conduct a significance test of whether the sample data provide strong evidence that the population mean of mothers age is less than 30 years.
(a) State the appropriate null and alternative hypotheses in symbols.
(b) Calculate the test statistic.
(c) Determine (as accurately as possible) the p-value of the test.
(d) State your test decision at the α = .10 significance level.
(e) Summarize your conclusion in context, and explain the reasoning process by which you reached this conclusion.