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In: Statistics and Probability

A metropolitan transportation authority has set a bus mechanical reliability goal of 3800 bus miles. Bus...

A metropolitan transportation authority has set a bus mechanical reliability goal of 3800 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 3850 bus miles and a sample standard deviation of 275 bus miles. Complete parts​ (a) and​ (b) below.

a. Is there evidence that the population mean bus miles is more than 3800 bus​ miles? (Use a 0.05 level of​ significance.)

State the null and alternative hypotheses.

Find the test statistic for this hypothesis test.

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

Is there sufficient evidence to reject the null hypothesis using alpha=0.05​?

b. Determine the​ p-value and make a conclusion.

The p-value is:

What is the conclusion for this test? Reject or Do not reject the null hypothesis.

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orchestra answered 1 year ago
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