Question: 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

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 3,825 bus miles and a sample standard deviation of 175 bus miles. Complete parts(a) and(b) below.

a. Is there evidence that the population mean bus miles is more than 3,800 busmiles? (Use a 0.10 level ofsignificance.)

b. Determine thep-value and interpret its meaning.

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