Part I: Questions 9a-9c The police department of a major city has found that the average height of their 1,000 officers is 71.5 inches (in.) with = 2.4 inches. Use the normal distribution and the formulas and steps in this module/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 z9a) table, what is the officer's percentile? (Hint: See slide 7 of this module/week's related presentation.) Answer (zWork (required):72-71.5/2.4 score): .208333 Answer Work/reasoning using z-table (required): (percentile): 9b) What is the height (in inches) that marks the 70th percentile for this group of officers? (Hint: See slides 14-16 of this module/week's related presentation.) Answer 9c) Work (required): What percent of officers are between 69 and 72 inches tall? (Hint: See slide 12 of this module/week's related presentation.) Answer Work (required): 69 Part I: Questions 10a-10c The verbal part of the Graduate Record Exam (GRE) has a = 500 and = 100. Use the normal distribution and the formulas and steps in this module/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 do not need to show this). This helps compare raw and z-scores and check your work. What is the z-score for a GRE score of 596? 10a) What is the percentile rank of this z-score? (Hint: See slide 7 of this module/week's related presentation.) Answer (zWork (required): 596-500//100= score):0.96 Answer Work (required): (percentile): What GRE score corresponds to a percentile rank of 35%? (Hint: See slide 17 of this 10b) module/week's related presentation.) Answer Work (required): If you wanted to select only students at or above the 85th percentile, what GRE score 10c) would you use as a cutoff score (i.e. what GRE score corresponds to this percentile)? (Hint: See slides 14-16 of this module/week's related presentation.) Answer Work (required)