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A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus...

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 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 3,875 bus miles and a sample standard deviation of 325 bus miles.

a. Is there evidence that the population mean bus miles is more than 3,800 bus​ miles? (Use 0.050 level of​ significance.)

State the null and alternative hypotheses.

Find the test statistic for this hypothesis test.

T Stat =

The critical​ value(s) for the test statistic​ is(are)

b. Determine the​ p-value

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