The distribution of heights of adult men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use the Normal Distribution to answer the following questions based on the situation. a. What percent of men are taller than 74 inches? State your answer as a percent rounded to 1 decimal place. b. Between what two heights do the middle 95% of men fall? Round to 1 decimal place. Between and inches c. What percent of men are shorter than 66.5 inches? State your answer as a percent rounded to 1 decimal place. d. Do these results agree with the Empirical Rule? Fully explain your answer.

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 distribution of heights of adult men is approximately normal with mean 69 inches and
standard deviation 2.5 inches. Use the Normal Distribution to answer the following questions
based on the situation.
a. What percent of men are taller than 74 inches? State your answer as a percent rounded to
1 decimal place.
b. Between what two heights do the middle 95% of men fall? Round to 1 decimal place.
Between
and
inches
c. What percent of men. are shorter than 66.5 inches? State your answer as a percent
rounded to 1 decimal place.
d. Do these results agree with the Empirical Rule? Fully explain your answer.
Transcribed Image Text:The distribution of heights of adult men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use the Normal Distribution to answer the following questions based on the situation. a. What percent of men are taller than 74 inches? State your answer as a percent rounded to 1 decimal place. b. Between what two heights do the middle 95% of men fall? Round to 1 decimal place. Between and inches c. What percent of men. are shorter than 66.5 inches? State your answer as a percent rounded to 1 decimal place. d. Do these results agree with the Empirical Rule? Fully explain your answer.
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