Part I: Questions 10a-10c                           The police department of a major city has found that the average height of their 1,200 officers...

Part I: Questions 10a-10c                        

The police department of a major city has found that the average height of their 1,200 officers is 71 inches (m = 71 in.) with s = 2.6 inches. Use the normal distribution and the formulas and steps in this week’s presentations to answer the following questions:

Note: Showing work is required for this section. Remember that it helps to transfer the raw mean and SD from the description above to the standardized curve shown here (though you don’t need to show this). This helps compare raw and z scores and check your work.

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?  (Hint: See slide 7 of this week’s related presentation)

Work (required):

Work/reasoning using z table (required):

What is the height (in inches) that marks the 80^th percentile for this group of officers? (Hint: See slides 14-16 of this week’s related presentation)

Work (required):

What percent of officers are between 68 and 72 inches tall? (Hint: See slide 12 of this week’s related presentation)

Work (required):