Use the following information to answer the next two exercises: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.
The heights of the 430 National Basketball Association players were listed on team rosters at the start of a recent season. The heights of basketball players have an approximate normal distribution with mean, µ = 79 inches and a standard deviation, σ = 3.89 inches. For each of the following heights, calculate the z-score and interpret it using complete sentences.
- 77 inches
- 85 inches
- If an NBA player reported his height had a z-score of 3.5, would you believe him? Explain your answer.
OpenStax Introductory Statistics 2e, 6.1 The Standard Normal Distribution, exercise 58