1) In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb., with a standard deviation of 4.8 lb. Construct a 90% confidence interval estimate of the mean weight loss for all such subjects. 2) Archeologists have studied sizes of Egyptian skulls in an attempt to determine whether breeding occurred between different cultures. Listed below are the widths of skulls from 150 A.D. Construct a 99% confidence interval estimate of the mean skull width. 128 138 126 132 143 135 139 129

3) Find the sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of error of three percentage points and use a confidence level of 99%. Assume that p-hat and q-hat are unknown.

4) Find the sample size needed to estimate the percentage of California residents who are left-handed. Use a margin of error of three percentage points and use a confidence level of 99%. Assume that based on prior studies, about 10% of Californians are left-handed.

5) Find the indicated critical value. Round results to two decimal places. z0.02

6) Disney World requires that people employed as a Mickey Mouse character must have a height between 56 in. and 62 in. Assume that men's heights are normally distributed with a mean of 68.6 in. And a standard deviation of 2.8 in. Find the percentage of men who meet the height requirement to be employed as a Mickey Mouse character.