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A clinical trial is being conducted in order to determine the efficacy of a new drug...

A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat type II diabetes. The efficacy of the medication will be determined by the blood glucose readings obtained from the patients. If the researcher wants a margin of error less than or equal to 5 mg/dL and the standard deviation for blood glucose readings among type II diabetics was previous documented as 15 mg/dL, how many patients should be recruited for each group of individuals in the study assuming a 95% confidence interval will be used to quantify the mean difference in blood glucose scores between the control group and the treatment group?

[1] n for the treatment group = 32 and n for the control group = 13

[2] n for the treatment group = 33 and n for the control group = 33

[3] n for the treatment group = 65 and n for the control group = 65

[4] n for the treatment group = 1729 and n for the control group = 1729

Math   Statistics-And-Probability   
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Answer #1
for95% CI crtiical Z          = 1.960
first sample standard deviation σ1      = 15.000
second sample standard deviation σ2= 15.000
margin of error E = 5
required sample size n=(z/E)2(σ12+σ22)                    = 70

[3] n for the treatment group = 65 and n for the control group = 65

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