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Chrome File Edit View History Bookmarks People Window Help 80% Mon 11:19 PM a Take a Test Jessy Li Secure l https://www.mathxl.com/Student/player Test.aspx?testide169415628scenterwinges F17 latestart M13A7_40492 Intro Statistics (T Th 3-5:15P) Test: Chapter 5 Exam This Question: 1 pt Submit Test 12 of 26 (0 complete) This Test: 26 pts possible In a survey of women in a certain country (ages 20-29), the mean height was 66.8 inches with a standard deviation of 2.72 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? (a) The height that represents the 95th percentile is inches. Round to two decimal places as needed.) (b) The height that represents the first quartile is inches. Round to two decimal places as needed.) Enter your answer in each of the answer boxes. MacBook Pro

Explanation / Answer

(a) = 66.8 = 2.72

95% percentile corresponds to a z score of 1.645

=> x = + z

= 66.8 + 1.645 * 2.72

= 71.27.

(b) = 66.8 = 2.72

First quarter or 25% percentile corresponds to a z score of 0.6745

=> x = + z

= 66.8 - 0.6745 * 2.72

= 64.97.

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