A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 21.1 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the x = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. = 24 Hoi H H₁: H * 24 (b) Calculate the P-value. P-value = 0.096 (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject Ho because the P-value is less than the x = 0.01 level of significance. OB. Do not reject Ho because the P-value is less than the x = 0.01 level of significance. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance. O D. Reject Ho because the P-value is greater than the x = 0.01 level of significance. (d) State the conclusion in context of the problem. There sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 24.

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 simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 21.1 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different
from 24 at the x = 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho: μ
H₁ μ
(b) Calculate the P-value.
= 24
#24
P-value = 0.096
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
A. Reject Ho because the P-value is less than the x = 0.01 level of significance.
B. Do not reject Ho because the P-value is less than the α = 0.01 level of significance.
C. Do not reject Ho because the P-value is greater than the α = 0.01 level of significance.
D. Reject Ho because the P-value is greater than the α = 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is different from 24.
Transcribed Image Text:A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 21.1 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the x = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: μ H₁ μ (b) Calculate the P-value. = 24 #24 P-value = 0.096 (Round to three decimal places as needed.) (c) State the conclusion for the test. A. Reject Ho because the P-value is less than the x = 0.01 level of significance. B. Do not reject Ho because the P-value is less than the α = 0.01 level of significance. C. Do not reject Ho because the P-value is greater than the α = 0.01 level of significance. D. Reject Ho because the P-value is greater than the α = 0.01 level of significance. (d) State the conclusion in context of the problem. There sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is different from 24.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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