The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see whether the mean time μ is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that o remains unchanged at 3 seconds. The hypotheses you decide to test are Ho: μ = 30 versus H₁ : µ ‡ 30. Suppose it takes the nine students an average of x = 32.05 seconds to complete the maze. At the 1% significance level, what can you conclude? Ho should be rejected because the P-value is less than 0.01. Ho should not be rejected because the P-value is greater than 0.01. O Ha should be rejected because the P-value is less than 0.01. Ha should not be rejected because the P-value is greater than 0.01.

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

18

The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a
mean of 30 seconds and a standard deviation of 3 seconds. You wish to see whether the mean time μ is changed by
vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the
maze. Assume that o remains unchanged at 3 seconds. The hypotheses you decide to test are Ho : μ
30 versus
Ha μ30. Suppose it takes the nine students an average of x = 32.05 seconds to complete the maze. At the 1%
significance level, what can you conclude?
Ho should be rejected because the P-value is less than 0.01.
O Ho should not be rejected because the P-value is greater than 0.01.
Ha should be rejected because the P-value is less than 0.01.
OH, should not be rejected because the P-value is greater than 0.01.
Transcribed Image Text:The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see whether the mean time μ is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that o remains unchanged at 3 seconds. The hypotheses you decide to test are Ho : μ 30 versus Ha μ30. Suppose it takes the nine students an average of x = 32.05 seconds to complete the maze. At the 1% significance level, what can you conclude? Ho should be rejected because the P-value is less than 0.01. O Ho should not be rejected because the P-value is greater than 0.01. Ha should be rejected because the P-value is less than 0.01. OH, should not be rejected because the P-value is greater than 0.01.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
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