1. Find and interpret a 95% confidence interval for a population mean for these values:

a. = 36, = 13.1, 2 = 3.42

b. = 64, = 2.73, 2 = 0.1047

2. The following = 10 observations are a sample from a normal population: 7.4 7.1 6.5 7.5 7.6 6.3 6.9 7.7 6.5 7.0

a. Find the mean and standard deviation of these data.

b. Find a 99% confidence interval for the population mean . Interpret this interval