1) A common design requirement in designing a workstation is that the environment must fit 95% of men. In designing an assembly worktable, we must consider sitting knee height. Males have a sitting knee height that is normally distributed with a mean of 21.4 in. and a standard deviation of 1.2 in. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? 2) What is the probability that the bone density test score will be between 1.50 and 2.50? Round answer 4 decimal places.

3) Find the indicated critical value. Round results to two decimal places.

a) z0.10 b) z0.02

4) 14) Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. a) Find the probability that a single can of Coke has at least 12.19 oz. b) Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz. 5) In a survey of 1002 people, 70% said that they voted in a recent presidential election. Find a 99% confidence interval estimate of the proportion of people who say that they voted. 6) 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.