This is the final lesson we will do on testing. The last case we'll examine here is the one with independent samples and unknown variances which are assumed to be equal I'll quickly brush up your memory on the dataset we did in the confidence interval section you were trying to see if apples in New York are as expensive as the ones in L.A. You went to 10 grocery shops in New York and your friend Paul lives in L.A. went to eight grocery shops there you got all the prices and put them in a table what the population variance of apple prices is but you assume it should be the same for New York and L.A. let's state the null and alternative hypotheses 8 zero Mew in New York is equal to mew in L.A. or even New York minus Mew in L.A. is equal to zero H 1 Mew in New York is different than New in L.A. New in New York minus Mu and L.A. differs from zero. All right. That's our dataset. We have also calculated the sample means sta
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