Homework Help is Here – Start Your Trial Now!
Math
Statistics
The producer of a new hybrid engine car claims that the car gets at least 48.0 miles per gallon (on average) in city driving. The EPA tests this claim with a random sample of 30 of these cars and finds that they get an average (mean) of 47.0 mpg, with a standard deviation of 3.6 mpg. Perform a standard (four-step) hypothesis test using a 5% level of significance to determine whether these results should lead the EPA to reject the producer's claim. a) What is the p-value of the test result? b) Would you have reached a different conclusion if your sample size had been 50 instead of 30, and the rest of the numbers in the problem had been the same?

The producer of a new hybrid engine car claims that the car gets at least 48.0 miles per gallon (on average) in city driving. The EPA tests this claim with a random sample of 30 of these cars and finds that they get an average (mean) of 47.0 mpg, with a standard deviation of 3.6 mpg. Perform a standard (four-step) hypothesis test using a 5% level of significance to determine whether these results should lead the EPA to reject the producer's claim. a) What is the p-value of the test result? b) Would you have reached a different conclusion if your sample size had been 50 instead of 30, and the rest of the numbers in the problem had been the same?

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

write    out    each    of    the    four    steps    of    hypothesis    testing:    (1)    
write    down    the    null    and    alternative    hypotheses,    (2)    calculate    the    test    statistic    (t    or    z)    based    on    the    
data    in    the    problem,    (3)    draw    the    rejection    region,    indicating    t*    or    z*,    (4)    conclude    and    write    a    one    
sentence    conclusion (what    this    result    means,    in    plain    English).        Use    a    5%    level    of    significance,    
unless    otherwise    instructed.        

The producer of a new hybrid engine car claims that the car gets at least 48.0 miles per gallon (on average) in city driving. The EPA tests this claim with a random sample of 30 of these cars and finds that they get an average (mean) of 47.0 mpg, with a standard deviation of 3.6 mpg. Perform a standard (four-step) hypothesis test using a 5% level of significance to determine whether these results should lead the EPA to reject the producer's claim. a) What is the p-value of the test result? b) Would you have reached a different conclusion if your sample size had been 50 instead of 30, and the rest of the numbers in the problem had been the same?
Transcribed Image Text:The producer of a new hybrid engine car claims that the car gets at least 48.0 miles per gallon (on average) in city driving. The EPA tests this claim with a random sample of 30 of these cars and finds that they get an average (mean) of 47.0 mpg, with a standard deviation of 3.6 mpg. Perform a standard (four-step) hypothesis test using a 5% level of significance to determine whether these results should lead the EPA to reject the producer's claim. a) What is the p-value of the test result? b) Would you have reached a different conclusion if your sample size had been 50 instead of 30, and the rest of the numbers in the problem had been the same?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 13 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