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What is the test statistic used for a test of two equal variances? Assume s₁² is the larger sample variance. a) σ₁²σ₂² b) f = s₁² - s₂² / σ² c) f = s₁² / s₂² d) f = s₁² - s₂² / (n - 1)√f = s₁²s₂² / σ²

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User Arshbot
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1 Answer

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The test statistic used for a test of two equal variances is known as the F statistic. You would compute this statistic essentially by taking the ratio of the variances of two samples.

Since we are to assume s₁² is the larger sample variance. We will express the F statistic as a ratio of sample variances as follows: f = s₁² / s₂².

Given this, we can match this with its appropriate form in the options provided above. Thus, the correct option is option c: f = s₁² / s₂². This is the statistic we use to test the hypothesis that the variances of two populations are equal.

Hence, the correct answer is "c".

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User Wpjmurray
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