Company A claims that the variance of the life of its appliances is less than the variance of the life of company B's appliances. A random sample of the lives of 22 of company A's appliances has a variance of 3.3. A random sample of the lives of 21 of company B's appliances has a variance of 4.9. At α=0.01, can you support company A's claim? Complete parts (a) through (e).
Company A claims that the variance of the life of its appliances is less than the variance of the life of company B's appliances. A random sample of the lives of 22 of company A's appliances has a variance of 3.3. A random sample of the lives of 21 of company B's appliances has a variance of 4.9. At α=0.01, can you support company A's claim? Complete parts (a) through (e).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Company A claims that the variance of the life of its appliances is less than the variance of the life of company B's appliances. A random sample of the lives of 22 of company A's appliances has a variance of 3.3. A random sample of the lives of 21 of company B's appliances has a variance of 4.9. At α=0.01, can you support company A's claim? Complete parts (a) through (e).
Transcribed Image Text:(c) Calculate the test statistic.
F=
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Fail to reject the null hypothesis.
Reject the null hypothesis.
(e) Interpret the decision in the context of the claim. Can you support company A's claim?
Yes, there is enough evidence to support the claim.
No, there is not enough evidence to support the claim.
Transcribed Image Text:Company A claims that the variance of the life of its appliances is less than the variance of the life of company B's appliances. A random sample of the lives of 22 of company A's appliances has a variance of 3.3. A random sample of the lives of
21 of company B's appliances has a variance of 4.9. At α = 0.01, can you support company A's claim? Complete parts (a) through (e).
(a) Identify the claim and state H and Hå. Let o represent the variance for company B's appliances and o represent the variance for company A.
A. H₁:0² ≥022, H₂:0² <0²22
OB. Ho: 0² 50², H₂:0² > 0²/2
OC. Ho: 0 <0₂, H₂:0² 20²/2
D. H₂: o² = 0²₂2, H₂:0² #0²/2
(b) Determine the critical value and the rejection region.
What is the critical F-value?
Fo=
(Round to two decimal places as needed.)
What is the rejection region for this F-test? Let F represent the test statistic and Fo represent the critical F-value.
A. F<Fo
B. - Fo< F< Fo
OC. F< -Fo or F > Fo
OD. F> Fo
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