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StatisticsQ&A LibrarySample Size. In Exercises 29–36, find the sample size required to estimate the population mean.Mean IQ of College Professors The Wechsler IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of college professors. We want to be 99% confident that our sample mean is within 4 IQ points of the true mean. The mean for this population is clearly greater than 100. The standard deviation for this population is less than 15 because it is a group with less variation than a group randomly selected from the general population; therefore, if we use σ = 15 we are being conservative by using a value that will make the sample size at least as large as necessary. Assume then that σ = 15 and determine the required sample size. Does the sample size appear to be practical?Question

Asked Jan 18, 2020

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Sample Size. In Exercises 29–36, find the sample size required to estimate the population mean.

Mean IQ of College Professors The Wechsler IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of college professors. We want to be 99% confident that our sample mean is within 4 IQ points of the true mean. The mean for this population is clearly greater than 100. The standard deviation for this population is less than 15 because it is a group with less variation than a group randomly selected from the general population; therefore, if we use σ = 15 we are being conservative by using a value that will make the sample size at least as large as necessary. Assume then that σ = 15 and determine the required sample size. Does the sample size appear to be practical?

Step 1

Solution:

We are given:

Step 2

We have to find the required sample size for estimating the population mean.

Step 3

The formula for finding the required...

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