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 of27of company A's appliances has a variance of2.5A random sample of the lives of25of company B's appliances has a variance of2.8Atalphaαequals=0.10,can you support company A's claim? Complete parts (a) through (e).(a) Identify the claim and stateUpper H 0H0andUpper H Subscript aHa.Letsigma Subscript 1 Superscript 2σ21represent the variance for company B's appliances andsigma Subscript 2 Superscript 2σ22represent the variance for company A. A.Upper H 0H0:sigma Subscript 1 Superscript 2σ21less than<sigma Subscript 2 Superscript 2σ22,Upper H Subscript aHa:sigma Subscript 1 Superscript 2σ21greater than or equals≥sigma Subscript 2 Superscript 2σ22 B.Upper H 0H0:sigma Subscript 1 Superscript 2σ21less than or equals≤sigma Subscript 2 Superscript 2σ22,Upper H Subscript aHa:sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22 C.Upper H 0H0:sigma Subscript 1 Superscript 2σ21greater than or equals≥sigma Subscript 2 Superscript 2σ22,Upper H Subscript aHa:sigma Subscript 1 Superscript 2σ21less than<sigma Subscript 2 Superscript 2σ22 D.Upper H 0H0:sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22,Upper H Subscript aHa:sigma Subscript 1 Superscript 2σ21not equals≠sigma Subscript 2 Superscript 2σ22(b) Determine the critical value and the rejection region.What is the critical F-value? Upper F 0F0equals=nothing(Round to two decimal places as needed.)What is the rejection region for this F-test? Let F represent the test statistic andUpper F 0F0represent the critical F-value. A.Fless than<Upper F 0F0 B.minus−Upper F 0F0less than<Fless than<Upper F 0F0 C.Fgreater than>Upper F 0F0 D.Fless than<minus−Upper F 0F0orFgreater than>Upper F 0F0(c) Calculate the test statistic. Fequals=nothing(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Fail to rejectFail to rejectthe null hypothesis. RejectRejectthe null hypothesis.(e) Interpret the decision in the context of the claim. Can you support company A's claim question markclaim? Yes comma there is enough evidence to support the claimYes, there is enough evidence to support the claim. No comma there is not enough evidence to support the claimNo, there is not enough evidence to support the claim. Click to select your answer(s).

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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 27 of company A's appliances has a variance of 2.5 A random sample of the lives of 25 of company B's appliances has a variance of 2.8 At alphaαequals=0.10, can you support company A's claim? Complete parts (a) through (e). (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Let sigma Subscript 1 Superscript 2σ21 represent the variance for company B's appliances and sigma Subscript 2 Superscript 2σ22 represent the variance for company A. A. Upper H 0H0: sigma Subscript 1 Superscript 2σ21less thansigma Subscript 2 Superscript 2σ22 C. Upper H 0H0: sigma Subscript 1 Superscript 2σ21greater than or equals≥sigma Subscript 2 Superscript 2σ22, Upper H Subscript aHa: sigma Subscript 1 Superscript 2σ21less thanUpper F 0F0 D. Fless thanUpper F 0F0 (c) Calculate the test statistic. Fequals=nothing (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to rejectFail to reject the null hypothesis. RejectReject the null hypothesis. (e) Interpret the decision in the context of the claim. Can you support company A's claim question markclaim? Yes comma there is enough evidence to support the claimYes, there is enough evidence to support the claim. No comma there is not enough evidence to support the claimNo, there is not enough evidence to support the claim. Click to select your answer(s).

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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Question

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

of company A's appliances has a variance of

2.5

A random sample of the lives of

of company B's appliances has a variance of

2.8

alphaαequals=0.10,

can you support company A's claim? Complete parts (a) through (e).

(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

Let

sigma Subscript 1 Superscript 2σ21

represent the variance for company B's appliances and

sigma Subscript 2 Superscript 2σ22

represent the variance for company A.

Upper H 0H0:

sigma Subscript 1 Superscript 2σ21less than<sigma Subscript 2 Superscript 2σ22,

Upper H Subscript aHa:

sigma Subscript 1 Superscript 2σ21greater than or equals≥sigma Subscript 2 Superscript 2σ22

Upper H 0H0:

sigma Subscript 1 Superscript 2σ21less than or equals≤sigma Subscript 2 Superscript 2σ22,

Upper H Subscript aHa:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Upper H 0H0:

sigma Subscript 1 Superscript 2σ21greater than or equals≥sigma Subscript 2 Superscript 2σ22,

Upper H Subscript aHa:

sigma Subscript 1 Superscript 2σ21less than<sigma Subscript 2 Superscript 2σ22

Upper H 0H0:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22,

Upper H Subscript aHa:

sigma Subscript 1 Superscript 2σ21not equals≠sigma Subscript 2 Superscript 2σ22

(b) Determine the critical value and the rejection region.

What is the critical F-value?

Upper F 0F0equals=nothing

(Round to two decimal places as needed.)

What is the rejection region for this F-test? Let F represent the test statistic and

Upper F 0F0

represent the critical F-value.

Fless than<Upper F 0F0

minus−Upper F 0F0less than<Fless than<Upper F 0F0

Fgreater than>Upper F 0F0

Fless than<minus−Upper F 0F0

Fgreater than>Upper F 0F0

Fequals=nothing

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

Fail to rejectFail to reject

the null hypothesis.

RejectReject

the null hypothesis.

(e) Interpret the decision in the context of the claim. Can you support company A's claim question markclaim?

Yes comma there is enough evidence to support the claimYes, there is enough evidence to support the claim.

No comma there is not enough evidence to support the claimNo, there is not enough evidence to support the claim.

Click to select your answer(s).

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