Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: ₁ =3.5, 0₂ = 1.6 Sample statistics: x₁=14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= (Round to three decimal places as needed.) What is the proper decision? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. (...)
Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: ₁ =3.5, 0₂ = 1.6 Sample statistics: x₁=14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= (Round to three decimal places as needed.) What is the proper decision? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. (...)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Question 17
Transcribed Image Text:Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed.
Claim: μ₁ = μ₂; α = 0.01
Population parameters: ₁ = 3.5, 0₂ = 1.6
Sample statistics: x₁ = 14, n₁ = 28, x₂ = 16, n₂ = 26
Determine the alternative hypothesis.
Ha: H₁
Determine the standardized test statistic.
H₂
Z= (Round to two decimal places as needed.)
Determine the P-value.
P-value = (Round to three decimal places as needed.)
What is the proper decision?
A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim.
B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
C. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
OD. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman