t to determine whether or not the mean of the population from whic ate the null and the alternative hypotheses. (Enter != for as need * etermine the test statistic. (Round your answer to three decimal plac

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
You are given the following information obtained from a random sample of 4 observations.
24 48 31 57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a) State the null and the alternative hypotheses. (Enter != for # as needed.)
Ho:
H₂:
(b) Determine the test statistic. (Round your answer to three decimal places.)
(c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
O Reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
Transcribed Image Text:You are given the following information obtained from a random sample of 4 observations. 24 48 31 57 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for # as needed.) Ho: H₂: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49. O Reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49. O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49. O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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