The police department of a major city has found that the average height of their 1,200 officers is 71 inches (µ = 71 in.) with σ = 2.6 inches. Use the normal distribution and the formulas and steps in this week's presentations to answer the following questions:
What is the z score for an officer who is 72 inches tall? Based on the z score and the z table, what is the officer's percentile?
What is the height (in inches) that marks the 80th percentile for this group of officers?
What percent of officers are between 68 and 72 inches tall?