A randomized clinical trial was designed to have power of 80% (i.e. Type II error probability of 20%) to detect a mean treatment effect of 8 > 0 at the 5% level . We assume that the treatment effect...

Extracted text: A randomized clinical trial was designed to have power of 80% (i.e. Type II error probability of 20%) to detect a mean treatment effect of 8 > 0 at the 5% level . We assume that the treatment effect values are normally distributed with the mean u and the standard deviation o = 108. Based on the research question, we can set both null and alternative hypotheses as follows: Ho : µ = 0 vs. H1 : µ = 8. Find the sample size needed.