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When the necessary conditions are met, a two-tail test is being conducted at a = 0.05 to test H0: a1/a2=1. The two sample variances are s1=400 and s2= 800, and the sample sizes n1=25 are n2=25 and . The calculated value of the test statistic will be F = 2.Group of answer choicesTrueFalse

Question

When the necessary conditions are met, a two-tail test is being conducted at a = 0.05 to test H0: a1/a2=1. The two sample variances are s1=400 and s2= 800, and the sample sizes n1=25 are n2=25 and . The calculated value of the test statistic will be F = 2.Group of answer choicesTrueFalse

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Solution

The statement is True.

In a two-tail test, we are testing for the possibility of the relationship in both directions. Here, we are testing the null hypothesis H0: a1/a2=1.

The F statistic is calculated as the ratio of the two variances, s1/s2. Given that s1=400 and s2=800, the calculated F statistic will indeed be 2 (since 400/800 = 0.5 and we are testing for the ratio being 1, we take the reciprocal of 0.5 which is 2).

So, the calculated value of the test statistic F is indeed 2. Therefore, the statement is true.

This problem has been solved

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