A high school principal claims that the variance in GPA of students in the graduating class is less than 0.49. You test this claim by sampling 33 seniors and find their GPA's to have a variance of 0.37. Ho:o Ha:o < 0.49 (Claim) = 0.49 Is there enough evidence to reject Ho and support the principal's claim at a 0.05 level of significance? O Yes, because the test statistic x 20.072 is in the rejection region with critical value 24.163. || O No, because the test statistic y 20.072. 24.163 is NOT in the rejection region with critical value %3D No, because the test statistic x = 20.072 is NOT in the rejection region with critical value %3D 20.867. No, because the test statistic x = 20.867 is NOT in the rejection region with critical value 20.072. Yes, because the test statistic x = 24.163 is in the rejection region with critical value 20.072.

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
Topic Video
Question
A high school principal claims that the variance in GPA of students in the graduating class is less than 0.49.
You test this claim by sampling 33 seniors and find their GPA's to have a variance of 0.37.
Ho:o = 0.49
Ha:o < 0.49 (Claim)
Is there enough evidence to reject Ho and support the principal's claim at a 0.05 level of significance?
Yes, because the test statistic x
20.072 is in the rejection region with critical value 24.163.
O No, because the test statistic y
20.072.
24.163 is NOT in the rejection region with critical value
%3D
O No, because the test statistic y
20.072 is NOT in the rejection region with critical value
20.867.
O No, because the test statistic Y
20.072.
= 20.867 is NOT in the rejection region with critical value
Yes, because the test statistic y = 24.163 is in the rejection region with critical value 20.072.
%3D
Transcribed Image Text:A high school principal claims that the variance in GPA of students in the graduating class is less than 0.49. You test this claim by sampling 33 seniors and find their GPA's to have a variance of 0.37. Ho:o = 0.49 Ha:o < 0.49 (Claim) Is there enough evidence to reject Ho and support the principal's claim at a 0.05 level of significance? Yes, because the test statistic x 20.072 is in the rejection region with critical value 24.163. O No, because the test statistic y 20.072. 24.163 is NOT in the rejection region with critical value %3D O No, because the test statistic y 20.072 is NOT in the rejection region with critical value 20.867. O No, because the test statistic Y 20.072. = 20.867 is NOT in the rejection region with critical value Yes, because the test statistic y = 24.163 is in the rejection region with critical value 20.072. %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
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