1. If the population standard deviation is known, which distribution is used when constructing a confidence interval for a population mean ?
2. If the population standard deviation is not known, which distribution is used when constructing a confidence interval for a population mean ?
3. Construct a 99% confidence interval for the population mean given that = 15, = 35, and = 6.5.
4. Construct a 95% confidence interval for the population mean given that = 29, = 19, and = 8.6.

Multiple Choice:

1. What are we actually finding when we determine a confidence interval for the population mean given a sample mean?

a-We are finding an interval which the population mean falls within, with a certain level of confidence

b-We are finding the exact population mean

c-We are finding an interval that the population mean must fall within, with 100% confidence

d-We are finding an interval which the population standard deviation falls within, with a certain level of confidence

True or False:

1. The margin of error, E, tells us how close the sample mean and the population mean are with a certain level of confidence.