While testing for equality of variances, which of the following formulae gives the F-test statistic?
A) $\sigma \frac{2}{1}-\sigma \frac{2}{2}$
B) $\frac{\bar{x}-\mu_{0}}{\sigma / \sqrt{n}}$
C) $\frac{\bar{x}-\mu_{0}}{\mathrm{~s} / \sqrt{n}}$

Question

While testing for equality of variances, which of the following formulae gives the F-test statistic? 
A) $\sigma \frac{2}{1}-\sigma \frac{2}{2}$ 
B) $\frac{\bar{x}-\mu_{0}}{\sigma / \sqrt{n}}$ 
C) $\frac{\bar{x}-\mu_{0}}{\mathrm{~s} / \sqrt{n}}$

Quizplus · Accepted Answer

The F-test statistic for testing equality of variances is given by the formula:

$\mathrm{F}=\frac{\mathrm{s}_{1}^{2}}{\mathrm{s}_{2}^{2}}$

where $\mathrm{s}_{1}^{2}$ and $\mathrm{s}_{2}^{2}$ are the sample variances of the two groups being compared. The formula in option D is the only one that includes sample variances and can be rearranged into the formula for the F-test statistic.

While Testing for Equality of Variances, Which of the Following σ21−σ22\sigma \frac{2}{1}-\sigma \frac{2}{2}σ12​−σ22​

While Testing for Equality of Variances, Which of the Following $\sigma \frac{2}{1}-\sigma \frac{2}{2}$