A random sample of Ersatz University students revealed that 16 females had a mean of $22.30 in their wallets with a standard deviation of $3.20, while 6 males had a mean of $17.30 with a standard deviation of $9.60. The value of the test statistic for a folded F-test for equal variances is:
A)0.333
B)0.111
C)9.00
D)3.00

Question

Quizplus · Accepted Answer

The formula for the test statistic for a folded F-test for equal variances is:

$\frac{s_1^2}{s_2^2} = \frac{	ext{larger sample variance}}{	ext{smaller sample variance}}$

In this case, the larger sample is the one with the smaller variance, which is the male group. So, we have:

$\frac{s_{male}^2}{s_{female}^2} = \frac{9.60^2}{3.20^2} \approx 9.00$

Therefore, the value of the test statistic is 9.00, which corresponds to choice (C).

A Random Sample of Ersatz University Students Revealed That 16