It iš néčessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 40 cars is 27.2 mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that u, the mean number of miles per gallon, is 27.1 against the alternative nypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following: a) The test statistic (give to 3 decimal places) is (b) The P -value (give to 4 decimal places) is (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that u = 27.1. O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.

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

Please see below. I really need help on this problem. 

 

It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 40 cars is 27.2
mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that µ, the mean number of miles per gallon, is 27.1 against the alternative
hypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following:
(a) The test statistic (give to 3 decimal places) is
(b) The P -value (give to 4 decimal places) is
(c) The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that u = 27.1.
O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.
Transcribed Image Text:It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 40 cars is 27.2 mpg and assume the standard deviation is 4 mpg. Now suppose the car producer wants to test the hypothesis that µ, the mean number of miles per gallon, is 27.1 against the alternative hypothesis that it is not 27.1. Conduct a test using a significance level of a = .05 by giving the following: (a) The test statistic (give to 3 decimal places) is (b) The P -value (give to 4 decimal places) is (c) The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that u = 27.1. O B. We can reject the null hypothesis that u = 27.1 and accept that u + 27.1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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