A metropolitan transportation authority has set a bus mechanicalreliability goal of 3,800 bus miles. Bus mechanical reliability ismeasured specifically as the number of bus miles between mechanicalroad calls. Suppose a sample of 100 buses resulted in a sample meanof 3,875 bus miles and a sample standard deviation of 275 busmiles.
population of bus miles is more than 3,800 (use a 0.01 level ofsignificance)
(a) find the critical value(s) for the test statistic is(are)_
(b) is there sufficient evidence to reject the null hypothesisusing a=0.01
(c) Determine the p-value and interpret its meaning