Company A claims that the variance of the life of its appliances is less than th

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 31 of company A's appliances has a variance of 2.2. A random sample of the lives of 31 of Company B's appliances has a variance of 3.6. At ? = 0.05, can you support company A's claim? Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha, Let ? represent the variance for company B's appliances and ? represent the variance for company A. 2 0 (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 (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 Reject the null hypothesis. O Fail to 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 O No, there is not enough evidence to support the claim.

Explanation / Answer

1) The correct answer is B

2) Critical value of F is 0.54333

c) F = 0.61111

d) Rejection region is F<F0

e) Fail to reject

f) No, there is not enough evidence to support the claim.

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