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The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z =

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a ercent. c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z = d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. Question Help: Video S Message instructor
Transcribed Image Text:The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a ercent. c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z = d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. Question Help: Video S Message instructor
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