We want to estimate the mean IQ score on the Stanford-Binet test for the population of college

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We want to estimate the mean IQ score on the Stanford-Binet test for the population of college students. We know that for people randomly selected from the general population, the standard deviation of IQ scores on the Stanford-Binet test is 16.
a. Using a standard deviation of 16, how many college students must we randomly select for IQ tests if we want to have 95% confidence that the sample mean is within 3 IQ points of the population mean?
b. How is our estimate of the mean IQ of college students affected if the sample size is larger than necessary? Smaller than necessary?
c. Is the actual standard deviation of IQ scores for college students likely to be equal to 16, more than 16, or less than 16? Explain. If we used the actual value instead of 16 in part a, how would the answer to part be affected? Would it be the same, smaller, or larger?
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Related Book For  book-img-for-question

Statistical Reasoning for Everyday Life

ISBN: 978-0321817624

4th edition

Authors: Jeff Bennett, Bill Briggs, Mario F. Triola

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