You take a sample of 22 from a population of test scores. The mean of your sample is 60 and the population standard deviation is 10.

1. What is the point estimate for the population mean?
2. what is the 99% confidence interval for the population mean?
3. Assume you do not know the population standard deviation, but you do know the sample standard deviation is 10. What is the new 99% confidence interval on the mean?
4. What distribution did you use when computing question #2?
5. What was the appropriate degrees of freedom required for calculating the confidence interval for question #2?
6. What distribution did you use when computing question #3?
7. What was the appropriate degrees of freedom required for calculating the confidence interval for question #3?

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