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 28 of company A's appliances has a variance of 2.9. A random sample of the lives of 25 of company B's appliances has a variance of 3.3. At a=0.05, can you suooort comoanv A's claim? Comolete parts (a) throuah (el. a) Identify the claim and state H, and H,. Let of represent the variance for company B's appliances and of represent the variance for company A. b) Determine the critical value and the rejection region. What is the critical F-value? 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. DA -FoF OD. F<-Fo or F>Fo c) Calculate the test statistic. Round to two decimal places as needed.) d) Decide whether to reject or fail to reject the null hypothesis. O Fail to reject the null hypothesis. O Reject the null hypothesis. e) Interpret the decision in the context of the claim. Can you support company A's claim? O Yes, there is enough evidence to support the claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 28 of company A's appliances has a variance of 2.9. A random sample of the lives of 25 of company B's appliances has a variance of 3.3. At a = 0.05, can you
support companv A's claim? Complete parts (a) throuah (e).
(a) Identify the claim and state H, and H,. Let o, represent the variance for company B's appliances and of represent the variance for company A.
O A. Ho: o so3. Hgi o >o2
O B. Ho: o = 0. Hạ:0 +o
Oc.
Họ: o 20, Hạ: o <o?
O D.
Họ: o <o3, Hại o 203
(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 F, represent the critical F-value.
O A. - Fo <F<Fo
О В. F<Fo
Ос. F> Fo
O D. F< - Fo or F> Fo
(c) Calculate the test statistic.
F=D
(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.
O Reject the null hypothesis.
(e) Interpret the decision in the context of the claim. Can you support company A's claim?
O Yes, there is enough evidence to support the claim.
No there is not enouah evidence to sunnort 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 28 of company A's appliances has a variance of 2.9. A random sample of the lives of 25 of company B's appliances has a variance of 3.3. At a = 0.05, can you support companv A's claim? Complete parts (a) throuah (e). (a) Identify the claim and state H, and H,. Let o, represent the variance for company B's appliances and of represent the variance for company A. O A. Ho: o so3. Hgi o >o2 O B. Ho: o = 0. Hạ:0 +o Oc. Họ: o 20, Hạ: o <o? O D. Họ: o <o3, Hại o 203 (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 F, represent the critical F-value. O A. - Fo <F<Fo О В. F<Fo Ос. F> Fo O D. F< - Fo or F> Fo (c) Calculate the test statistic. F=D (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. O Reject the null hypothesis. (e) Interpret the decision in the context of the claim. Can you support company A's claim? O Yes, there is enough evidence to support the claim. No there is not enouah evidence to sunnort the claim
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