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Assume that all​ grade-point averages are to be standardized on a scale between 0 and 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 0.013 of the population​ mean? Assume that a 95​% confidence level is desired. If using the range rule of​ thumb, sigma can be estimated as range/4 = 4-0/4 = 1. Does the sample size seem​ practical? The required sample size is ??

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I have answered the question below

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Answer:

Given that E is 0.013 and sigma = 1

Substituting for n we get

=> 1.962  * 12 / (0.013)2 = 22,732 samples required

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