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 = 1.98 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 97.6 c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 2.56 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
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 = 1.98 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 97.6 c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 2.56 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
part d
![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=| 1.98
b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.
97.6
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
Z =2.56
d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
Question Help: Video Message instructor](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc24d0110-74e6-4765-afd2-6bfe95475961%2F9ecba5a1-27e7-4d32-a0c4-feb6fb8b6131%2Fbtqj0kf_processed.jpeg&w=3840&q=75)
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)?
Z=| 1.98
b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.
97.6
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
Z =2.56
d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
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