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Normal Distribution CI IQ tests are designed to yield results that are approximately Normally distributed. Researchers...

Normal Distribution CI

IQ tests are designed to yield results that are approximately Normally distributed. Researchers think believe that the standard deviation, σ, is 15. A reporter is interested in estimating the average IQ of employees in a large high-tech firm in California. She gathers the IQ information on 22 employees of this firm and recoreds the sample mean IQ as 106. Let X represent a random variable describing a person's IQ: X~N(µ, 15).

a. Find the standard error of the sample mean.
b. Calculate a 90% confidence interval.
c. Interpret the confidence interval in the context of the problem.

Math   Statistics-And-Probability   
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