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17 Nov 2021
Given information
There are two assumptions that must be true in order to perform an test of two variances.
Step-by-step explanation
Step 1.
The -test for the equality of two variances is based on the assumption of normal distributions. The test is valid if this assumption is not satisfied.
If both distributions are normal, then the ratio of the two sample variances is distributed as an -statistic, with numerator and denominator degrees of freedom that are one less than the samples sizes of the corresponding two groups.
A test of two variances hypothesis test determines if two variances are the same. The distribution for the hypothesis test is the -distribution with two different degrees of freedom.
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