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Imagine that we have taken samples from a pair of populations and we're using an unpaired homoscedastic t-test to determine whether their means are equal

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Imagine that we have taken samples from a pair of populations and we're using an unpaired homoscedastic t-test to determine whether their means are equal or not.

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Q3. Imagine a pair of populations with standard deviations of 2.9 and means Min. n = ??? that differ. If we take a pair of samples of equal size which give us the exact same standard deviation and mean values as the population, and we're using an unpaired homceoedastic t-test. what is the minimum number of data values in each sample to detect a difference of 2.5

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