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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Solved: Sample Size. In Exercises, find the sample size

Chapter 7, Problem 26BSC

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QUESTION:

Problem 26BSC

Sample Size.    In Exercises, find the sample size required to estimate the population mean.

Mean Grade Point Average As part of a study of grade inflation, you want to estimate the mean grade point average of all current college students in the United States. All grade point averages are to be standardized for a scale between 0 and 4. How many grade point averages must be obtained so that the sample mean is within 0.2 of the population mean? As­sume that a 99% confidence level is desired. Also assume that a pilot study showed that the population standard deviation is estimated to be 0.79. Does it make sense to collect the entire sample at your college?

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QUESTION:

Problem 26BSC

Sample Size.    In Exercises, find the sample size required to estimate the population mean.

Mean Grade Point Average As part of a study of grade inflation, you want to estimate the mean grade point average of all current college students in the United States. All grade point averages are to be standardized for a scale between 0 and 4. How many grade point averages must be obtained so that the sample mean is within 0.2 of the population mean? As­sume that a 99% confidence level is desired. Also assume that a pilot study showed that the population standard deviation is estimated to be 0.79. Does it make sense to collect the entire sample at your college?

ANSWER:

Answer

Step 1 of 3

Here margin of error  is 0.2

Z for 99 % confidence interval is 2.58

Standard deviation =0.79

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