Question: Referring to Problem 15, how large should n be so that the test of H0: x = y against the one-sided alternative HA: x >

Referring to Problem 15, how large should n be so that the test of H0: μx = μy against the one-sided alternative HA: μx > μy has a power of .5 if μx - μy = 2 and α = .10?

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Suppose that n measurements are to be taken under a treatment condition and another n measurements are to be taken independently under a control condition. It is thought that the standard deviation of a single observation is about 10 under both conditions. How large should n be so that a 95% confidence interval for μx - μy has a width of 2? Use the normal distribution rather than the t distribution, since n will turn out to be rather large.

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