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 basketball players were listed on team rosters at the start of the 2005–2006 season. The heights of basketball players have an approximate normal distribution with a 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 a player reported his height had a z-score of 3.5, would you believe him? Explain your answer.
OpenStax Statistics, 6.1 The Standard Normal Distribution, exercise 59