(Step-by-Step) Bob designed a two-tailed test on the mean (with known variance) and found that the test could detect a difference of 3 with probability
Question: Bob designed a two-tailed test on the mean (with known variance) and found that the test could detect a difference of 3 with probability of .7 if sample size of 20 were used. He would like to be able to detect a difference of 3 with a probability of at least .9. What sample size would he need? The significance level of the test is set at 0.05.
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