Assume that all grade-point averages are to be standardized on a scale between 0

Question

Assume that all grade-point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within 0.007 of the population mean? Assume that a 99% confidence level is desired. If using the range rule if thumb, or population standard deviation can be estimated as range/4 = 4-0/4 =1. Does the sample size seem practical?

The required sample size is _____ (type a whole number)

Does the sample size seem practical?

A. Yes, becasue the required sample size is a fairly large number.

B. No, because the required sample size is a fairly large number

C. No, becasue the required sample size is a fairly small number.

D. Yes, becasue the required sample size is a fairly small number.

Explanation / Answer

sd= 1.00

ME= 0.007

alpha= 1%

z(a/2)= z(0.01/2) =NORMSINV(1-0.01/2) = 2.576

n = z(a/2)^2 * sd^2 / ME^2

n= 2.576^2 * 1^2 / 0.007^2

n = 135424

A. Yes, because the required sample size is a fairly large number.

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