Question

Please refer to this scenario in order to answer all questions below: Given that the heights of males ages 18-25 (measured in inches) have the distribution N(69.5, 1.5), find each of the following. This notation means that it follows a normal curve, their mean height is 69.5 inches, and their standard deviation is 1.5 inches. Draw a normal curve first and use that to answer the questions. Make sure that you label the x-axis correctly. You will need to find z-scores to answer each of these questions.

1. How tall would an 18 to 25 male have to be in order to be in the 73rd percentile?

2. What proportion of males 18 to 25 are between 68 and 71 inches tall?

3. If a 20-year- old make is 73 inches tall, what percentile would this place him?

4. What is the probability that a randomly selected male (age 18 to 25) is less than 67 inches tall or over 72 inches tall?

5. What can we infer about a man 18 to 25 that is 66 inches tall?

Answer 1