Example # 2: The heights if a group of boys are normally distributed with a mean of 54 inches and standard deviation of 2.5 inches. a. What percentage of the population would have heights between 53 inches and 56 inches? b. If a boy is chosen at random from this population, what is the probability that it is taller than 52 inches? c. If all possible samples of size 25 are drawn from this population, what percentage of them would have means taller than 51 inches?

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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Example # 2: The heights if a group of boys are normally distributed with a mean
of 54 inches and standard deviation of 2.5 inches.
a. What percentage of the population would have heights between 53 inches and
56 inches?
b. If a boy is chosen at random from this population, what is the probability that it
is taller than 52 inches?
c. If all possible samples of size 25 are drawn from this population, what
percentage of them would have means taller than 51 inches?
Transcribed Image Text:Example # 2: The heights if a group of boys are normally distributed with a mean of 54 inches and standard deviation of 2.5 inches. a. What percentage of the population would have heights between 53 inches and 56 inches? b. If a boy is chosen at random from this population, what is the probability that it is taller than 52 inches? c. If all possible samples of size 25 are drawn from this population, what percentage of them would have means taller than 51 inches?
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