In the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type. Suppose the study tested the null hypothesis that top - and front-loading machines don't differ in their mean costs, and the test had a P-value of 0.32. Would a 95% confidence interval for μ top - μ front contain 0? Explain.

Question

Mathematics

Ali Buchanan

1 February, 03:26

In the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type. Suppose the study tested the null hypothesis that top - and front-loading machines don't differ in their mean costs, and the test had a P-value of 0.32. Would a 95% confidence interval for μ top - μ front contain 0? Explain.

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Answers (1)

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Elise Webb · Answer 1

Yes

Step-by-step explanation:

Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.

The difference in mean values test gave a p value of 0.32

Confidence level = 95%

Alpha = 1-0.95 = 0.05

Compare p with alpha, here p >alpha

Hence we accept null hypothesis that there is no difference in the means.

Confidence interval method also will yield the same result. i. e. confidence interval for difference of means would definitely contain 0 at 95% conf level.

So answer is yes