1. Consider a hypothetical situation in which an experiment to compare the effects of 1. treatment A...

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1. Consider a hypothetical situation in which an experiment to compare the effects of 1.

treatment A with those of treatment B is repeated 500 times under identical circumstances. A two-tailed test of H0: μA − μB 0 is performed each time, and nonsignificant results are obtained 400 times.

(a) If the true value μA −μB is 2.4, what is your best estimate of the power of the test?

(b) If, in truth, the effects of treatments A and B are identical, what is the power of the test? (Before responding, revisit the definition of power.)

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