Ap Calculus Bc: Series

AP STATISTICS | FIESTA 3 | FALL 2008 | SHUBLEKA    

NAME__________________________ Use full English sentences and write your answers on a separate page. Show all your work for full credit. Problem 1 Larry came home very excited after a visit to his doctor. He announced proudly to his wife, “My doctor says my blood pressure is at the 90th percentile among men like me. That means I’m better off than about 90% of similar men.” How should his wife, who is a statistician, respond to Larry’s statement? Explain.

Problem 2 The heights of women aged 20 to 29 are symmetrically distributed with a mean of 64 inches and a standard deviation of 2.7 inches. Men the same age have mean height 69.3 inches with a standard deviation of 2.8 inches. What are the z-scores for a woman 6 feet tall and a man 6 feet tall? Describe in simple language what information the z-scores give that the actual heights do not. Problem 3 The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ricardo spends less than one minute brushing his teeth about 40% of the time. He spends more than two minutes brushing his teeth 2% of the time. Use this information to determine the mean and standard deviation of this distribution. Problem 4 a) Find the number z such that the proportion of observations that less than z in a standard normal distribution is 0.98. b) Find the number z such that 22% of all observation from a standard normal distribution are greater than z.