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.

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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.
Transcribed Image 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.
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