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Probability Distribution and Standard Error

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A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 5. The sample mean is 20.
a. Determine the standard error mean.
b. Explain why we can use formula (9-1) to determine the 95 percent confidence interval, even though the sample is less than 30.
c. Determine the 95 percent confidence interval for the population mean.

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Solution Summary

This solution calculates the standard error mean and the 95 confidence interval for the population mean. It also explains why the formula (9-1) is inappropriate even for a sample less than 30.

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