Heights of females ages 20-29 are normally distributed with 64.1 inches and a standard deviation of 2.8
Question:
Heights of females ages 20-29 are normally distributed with 64.1 inches and a standard deviation of 2.8 inches. Use this to answer parts a-e. For each part, label the z-score(s) and shade the area that corresponds to each probability/percentage.
a. What is the probability that a randomly selected 20-29-year-old female will be less than 60 inches tall?
b. What percentage of 20-29-year-old females are between 61 and 68 inches tall?
c. What height would separate an unusually tall 20-29-year-old female from one who is not? (Label the corresponding z-score that separates an unusually tall female from one that is not unusually tall.)
d. What is the probability that a randomly selected 20-29-year-old female will be more than 65.5 inches tall? e. What is the probability that a randomly selected sample of 20 women ages 20-29 will have a mean height greater than 65.5 inches?
Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin