Question

4 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 0.006 of the population mean? Assume that a 98% range 4-0 confidence level is desired. If using the range rule of thumb, o can be estimated as = 1. Does the 4 sample size seem practical? The required sample size is (Round up to the nearest whole number as needed.) Does the sample size seem practical? A. Yes, because the required sample size is a fairly small number B. No, because the required sample size is a fairly large number. C. Yes, because the required sample size is a fairly large number. D. No, because the required sample size is a fairly small number.

Answer 1

Margin of error, E = 0.006

-a/2
*1/
n
= 0.006

n = (2.33*1/0.006)²

= 150802.78

~ 150803 (since n can't be a fraction)

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

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