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.   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.   H0​: μ ___ _____H1​: μ ____ _____     ​(Type integers or​ 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 α=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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.

 

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.
 
H0​: μ ___ _____H1​: μ ____ _____
 
 
​(Type integers or​ 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
α=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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 8 images

Blurred answer
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