Question: A drug for treating headaches has a side effect of lowering diastolic blood pressure by \(8 \mathrm{~mm} \mathrm{Hg}\) compared to a placebo. If the population standard deviation is known to be \(6 \mathrm{~mm} \mathrm{Hg}\)

1. What would be the power of an experiment \((\alpha=0.01\) two-tailed) comparing the drug to a placebo using 15 participants per group? The power for such an experiment is approximately
2. How many participants would you need per group to attain power \(=0.85\), with \(\alpha=0.01\), two-tailed? The number of participants per group needs to be

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