An automotive engineer believes that her newly designed engine will be a great gas saver. A large number of tests on engines of the old design yielded a mean gasoline consumption of 27.5 miles per gallon, with a standard deviation of 5.2. Fifteen new engines are tested. The mean gasoline consumption for the new engine is 29.6 miles per gallon. a. What is the directional alternative hypothesis? b. What is the null hypothesis? c. What is your obtained z-score? d. What do you conclude?

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
An automotive engineer believes that her newly designed engine will be a great
gas saver. A large number of tests on engines of the old design yielded a mean
gasoline consumption of 27.5 miles per gallon, with a standard deviation of 5.2.
Fifteen new engines are tested. The mean gasoline consumption for the new
engine is 29.6 miles per gallon.
a. What is the directional alternative hypothesis?
b. What is the null hypothesis?
c. What is your obtained z-score?
d. What do you conclude?
Transcribed Image Text:An automotive engineer believes that her newly designed engine will be a great gas saver. A large number of tests on engines of the old design yielded a mean gasoline consumption of 27.5 miles per gallon, with a standard deviation of 5.2. Fifteen new engines are tested. The mean gasoline consumption for the new engine is 29.6 miles per gallon. a. What is the directional alternative hypothesis? b. What is the null hypothesis? c. What is your obtained z-score? d. What do you conclude?
Expert Solution
Step 1

Given:

μ=27.5σ=5.2α=0.05n=15x¯ =29.6

Part a:

The test hypothesis are,

H0: μ = 27.5

H1: μ > 27.5.

This is a one-sided test.

We reject the null hypothesis if Z-value > Z-critical value.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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