Examine the following hypothesis test with n=22​, x=78.4​, s=5.5​, and α=0.05.   H0​:  μ ≤ 75 HA​:  μ >  75             a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. State the decision rule. Select the correct choice below and fill in any answer boxes in your choice. ​(Round to four decimal places as​ needed.) A. Reject the null hypothesis if the calculated value of the test​ statistic, t, is less than the critical value of ___?___ or greater than the critical value of _?___. ​Otherwise, do not reject.

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
100%

Examine the following hypothesis test with n=22​, x=78.4​, s=5.5​, and α=0.05.

 

H0​:

 μ

75

HA​:

 μ

75

 

 

 

 

 

 

a. State the decision rule in terms of the critical value of the test statistic.

b. State the calculated value of the test statistic.

c. State the conclusion.

a. State the decision rule. Select the correct choice below and fill in any answer boxes in your choice.

​(Round to four decimal places as​ needed.)

A. Reject the null hypothesis if the calculated value of the test​ statistic, t, is less than the critical value of ___?___ or greater than the critical value of _?___. ​Otherwise, do not reject.

B. Reject the null hypothesis if the calculated value of the test​ statistic, t, is less than the critical value of__?____  ​Otherwise, do not reject. 

C. Reject the null hypothesis if the calculated value of the test​ statistic, t, is greater than the critical value of___?___ . ​Otherwise, do not reject.

 

b. State the calculated value of the test statistic.

t= ____  (Round to three decimal places as​ needed.)

 

c. State the conclusion. Choose the correct answer below.

A. Do not reject the null hypothesis. There is sufficient evidence that the mean is greater than 75.

B. Reject the null hypothesis. There is sufficient evidence that the mean is greater than 75.

C. Reject the null hypothesis. There is not sufficient evidence that the mean is greater than 75.

D. Do not reject the null hypothesis. There is not sufficient evidence that the mean is greater than 75.

Expert Solution
trending now

Trending now

This is a popular 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.
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