Assume that a simple random sample has been selected from a normally distributed population.

Find the test statistic, P-value, critical value(s), and state the final conclusion.

Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, x = 226,450 miles, and s = 11,500 miles. Use a significance level of = 0.01.