Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.7 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 8 cars. The mileages for this sample of cars are shown below: 27.5, 30.3, 29.8, 31.4, 31.1, 28.2, 29.8, 29.6 The sample mean and sample standard deviation are calculated to be 29.7 mpg and 1.33 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.4 mpg. We would like to conduct a hypothesis test at the 5% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic? (A) {z < -1.96}) (B) {z < -1.645) (C) (z 1.645) (D) {z > 1.96} (E) {z > 1.645} (F) {z > 1.96} Problem #3(a): Select ↑
Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.7 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 8 cars. The mileages for this sample of cars are shown below: 27.5, 30.3, 29.8, 31.4, 31.1, 28.2, 29.8, 29.6 The sample mean and sample standard deviation are calculated to be 29.7 mpg and 1.33 mpg, respectively. Mileages are known to follow a normal distribution with variance 1.4 mpg. We would like to conduct a hypothesis test at the 5% level of significance. (a) What is the appropriate rejection region? (b) What is the value of the test statistic? (A) {z < -1.96}) (B) {z < -1.645) (C) (z 1.645) (D) {z > 1.96} (E) {z > 1.645} (F) {z > 1.96} Problem #3(a): Select ↑
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.7 miles per gallon on
the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the
average mileage. They test the new engine on a random sample of 8 cars. The mileages for this sample of cars are
shown below:
27.5, 30.3, 29.8, 31.4, 31.1, 28.2, 29.8, 29.6
The sample mean and sample standard deviation are calculated to be 29.7 mpg and 1.33 mpg, respectively.
Mileages are known to follow a normal distribution with variance 1.4 mpg. We would like to conduct a
hypothesis test at the 5% level of significance.
Problem #3(a):
Problem #3(b):
(a) What is the appropriate rejection region?
(b) What is the value of the test statistic?
(A) {z < -1.96} (B) {z < -1.645) (C) {z 1.645} (D) {z 1.96} (E) {z 1.645) (F) {z > 1.96}
Select Part (a) choices.
answer correct to 2 decimals
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman