True or False? A researcher wants to be sure the mean difference in the change i
ID: 3060629 • Letter: T
Question
True or False? A researcher wants to be sure the mean difference in the change in blood pressure has a margin of error no more than 5 points and the difference in the standard deviation between the mean blood pressure points from the first medication used to treat high blood pressure and the second medication used to treat high blood pressure is 14 points. The desired sample size required to ensure a 95% confidence interval for the proposed study used to compare the efficacy of two medications used to treat high blood pressure during a cross-over trial is n = 31.
Explanation / Answer
margin of error = critical value at 95% confidence interal * standard error
MOE = cv *SE
= cv *sd/ sqrt(sample size)
sample size = (cv *sd/MOE)^2
=(1.645*14/5)^2=22
Therefore the statement is false, the required sample size is only 22.
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