Suppose that we have disjoint normal populations A and B with unknown population variances.   Suppose we have a sample of size 10 from from population A and a sample of size 15 from population B which we would like to pool to form the pooled variance.  But, for this we need to assume that the population variances are equal.  If the sample variance for the sample from population A is 11 and the sample variance for the sample from population B is 7, then does our data actually give evidence that the two population variances are actually different?  Give the P-Value of this data as evidence that the two population variances are different (use stattrek.org

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