random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 57.5. Suppose it is known that the population standard deviation is 5. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 56. Choose the most correct statement. a. You test Ho: µ < 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant. b. You test Ho: µ > = 56 versus Ha: µ < 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant. c. You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a pvalue of 0.001 (TO 3 DECIMALS) and the result is significant. d. You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

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

A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 57.5. Suppose it is known that the population standard deviation is 5. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 56. Choose the most correct statement.

a.

You test Ho: µ < 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

b.

You test Ho: µ > = 56 versus Ha: µ < 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

c.

You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a pvalue of 0.001 (TO 3 DECIMALS) and the result is significant.

d.

You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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