*Need help with T stat*

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 325 bus miles. Complete parts(a) and(b) below.

a. Is there evidence that the population mean bus miles is more than 3,900 busmiles? (Use a 0.01 level ofsignificance.)

State the null and alternative hypotheses.

H0: less than or equals

3900

3900

H1: greater than

>

3900

3900

(use integers ordecimals.)

Find the test statistic for this hypothesis test.

tSTAT=

(Round to two decimal places asneeded.)