The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) μ = 35 and σ = 3.2 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches? (b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches? (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches? (d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 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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The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.)

μ = 35 and σ = 3.2 inches

(a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 32.8 and 37.2 inches?


(b) A classroom of 25 of these children is used as a sample. What is the probability that the class mean x is between 32.8 and 37.2 inches?


(c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 36.5 inches?


(d) A classroom of 25 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 36.5 inches?
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