Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 3,950 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 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses 10 H;: O (Type integers H: ul decimals.) Find the test statistic for this hypothesis test. tSTAT = |(Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) (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 a = 0.10? O A. 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. O 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. O C. 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. O D. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,950 bus miles. O B. The p-value is the probability that the actual mean is 3,950 bus miles or less. O C. The p-value is the probability of getting a sample mean of 3,950 bus miles or greater if the actual mean is 3,900 bus miles. O D. The p-value is the probability that the actual mean is greater than 3,950 bus miles.

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 3,950 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 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses 10 H;: O (Type integers H: ul decimals.) Find the test statistic for this hypothesis test. tSTAT = |(Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) (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 a = 0.10? O A. 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. O 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. O C. 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. O D. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,950 bus miles. O B. The p-value is the probability that the actual mean is 3,950 bus miles or less. O C. The p-value is the probability of getting a sample mean of 3,950 bus miles or greater if the actual mean is 3,900 bus miles. O D. The p-value is the probability that the actual mean is greater than 3,950 bus miles.

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
Problem 1P
See similar textbooks
icon
Related questions
Question
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 3,950 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 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses 10 H;: O (Type integers H: ul decimals.) Find the test statistic for this hypothesis test. tSTAT = |(Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) (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 a = 0.10? O A. 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. O 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. O C. 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. O D. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,950 bus miles. O B. The p-value is the probability that the actual mean is 3,950 bus miles or less. O C. The p-value is the probability of getting a sample mean of 3,950 bus miles or greater if the actual mean is 3,900 bus miles. O D. The p-value is the probability that the actual mean is greater than 3,950 bus miles.
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 3,950 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 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses 10 H;: O (Type integers H: ul decimals.) Find the test statistic for this hypothesis test. tSTAT = |(Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) (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 a = 0.10? O A. 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. O 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. O C. 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. O D. 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. b. Determine the p-value and interpret its meaning. The p-value is (Round to three decimal places as needed.) What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,950 bus miles. O B. The p-value is the probability that the actual mean is 3,950 bus miles or less. O C. The p-value is the probability of getting a sample mean of 3,950 bus miles or greater if the actual mean is 3,900 bus miles. O D. The p-value is the probability that the actual mean is greater than 3,950 bus miles.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS