When comparing the variances of two normally distributed populations using independent random samples,the correct test statistic to use is based on the __________ distribution.
A)z
B)t
C)F
D)chi-square
E)exponential

Question

Quizplus · Accepted Answer

When comparing the variances of two normally distributed populations, the correct test statistic to use is based on the F distribution. This is because the ratio of sample variances is assumed to follow an F distribution under the null hypothesis. Therefore, we use the F test for this purpose. The z-test is used when comparing means of a normally distributed population, the t-test is used when the population variance is unknown, the chi-square test is used to test independence or goodness of fit, and the exponential distribution is used to model continuous random variables that describe the time between events in a Poisson process.

When Comparing the Variances of Two Normally Distributed Populations Using