A random sample of size 9 is selected from normal population A.A second, independent, random sample of size 6 is selected from normal population B.You test a null hypothesis that the variances of the two populations are equal, using a 10% significance level.The F_stat for your test, calculated as the ratio of the variance of sample A to the variance to the variance of sample B, turns out to be 1.21.Report your conclusion. A)Since F_stat is greater than F_c, we cannot reject the "equal variances" null hypothesis. B)Since F_stat is less than F_c, we cannot reject the "equal variances" null hypothesis. C)Since F_sta_t is less than F_c, we can reject the "equal variances" null hypothesis. D)Since F_stat is greater than F_c, we can reject the "equal variances" null hypothesis.

Question

Quizplus · Accepted Answer

The F-statistic (1.21) is compared to the critical F-value (F_c) at a 10% significance level with degrees of freedom (8, 5). Since F_stat is less than F_c, we cannot reject the null hypothesis of equal variances.

A Random Sample of Size 9 Is Selected from Normal