Test the given claim using the traditional method of hypothesis testing.
Test the claim that the mean lifetime of a car engine of a particular kind is greater than 220,000 miles. Sample data are summarized as n=23, x=226,450 miles, and s=11,500 miles. Make use of a significance level of a =0.01. Test the given claim using the traditional method of hypothesis testing. Suppose that the sample has been randomly selected from a population with a normal distribution.