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

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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 3825 bus miles and a sample standard deviation of 225 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. H0?: mu less than or equals 3800 H1?: mu greater than 3800 ?(Type integers or?decimals.) Find the test statistic for this hypothesis test. t Subscript STATequals 1.11 ?(Round to two decimal places as? needed.)

The critical? value(s) for the test statistic? is(are) 1.66. ALSO HOW DID YOU GET THIS ANSWER OF 1.66 PLEASE SHARE DETAILS THANK YOU. ?(Round to two decimal places as needed. Use a comma to separate answers as? needed.)

Is there sufficient evidence to reject the null hypothesis using alphaequals0.05??

A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3 comma 800 bus miles. This is the correct answer.

B. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is greater than 3 comma 800 bus miles.

C. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3800 bus miles. Your answer is not correct.

D. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean bus miles is less than 3800 bus miles.

b. Determine the? p-value and interpret its meaning.

The? p-value is ___?