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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 3,975 bus miles and a sample standard deviation of 275 bus miles. Complete parts​ (a) and​ (b) below.

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 3,975 bus miles and a sample standard deviation of 275 bus miles. Complete parts​ (a) and​ (b) below.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
3,975
bus miles and a sample standard deviation of
275
bus miles. Complete parts​ (a) and​ (b) below.
 
 
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 3,975 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 3,900 bus miles? (Use a 0.10 level of significance.)** **State the null and alternative hypotheses:** - \( H_0: \mu \square \) - \( H_1: \mu \square \) *(Type integers or decimals.)* **Find the test statistic for this hypothesis test.** - \( t_{\text{STAT}} = \square \) (Round to two decimal places as needed.) **The critical value(s) for the test statistic is(are):** - \(\square\) (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 \(\alpha = 0.10\)?** - **A.** Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. - **B.** Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. - **C.** Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. - **D.** Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. --- **b. Determine the p-value and interpret its meaning.** **The p-value is \(\square\).** *(Round to three decimal places as needed.)* **What does the p-value mean given the results of part (a)?** - **A.** The p-value is the probability that the actual mean is greater than 3,975 bus miles. - **B.** The p-value is the probability of getting a sample mean of
Transcribed Image Text: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 3,975 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 3,900 bus miles? (Use a 0.10 level of significance.)** **State the null and alternative hypotheses:** - \( H_0: \mu \square \) - \( H_1: \mu \square \) *(Type integers or decimals.)* **Find the test statistic for this hypothesis test.** - \( t_{\text{STAT}} = \square \) (Round to two decimal places as needed.) **The critical value(s) for the test statistic is(are):** - \(\square\) (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 \(\alpha = 0.10\)?** - **A.** Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. - **B.** Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,900 bus miles. - **C.** Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. - **D.** Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,900 bus miles. --- **b. Determine the p-value and interpret its meaning.** **The p-value is \(\square\).** *(Round to three decimal places as needed.)* **What does the p-value mean given the results of part (a)?** - **A.** The p-value is the probability that the actual mean is greater than 3,975 bus miles. - **B.** The p-value is the probability of getting a sample mean of
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Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post them separately.

a.

Let mu denote the population mean bus miles.

The claim of the test is that the population's mean bus miles is more than 3,900 bus miles.

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