4. Use the Central Limit Theorem. Assume that women's heights are normally distributed with a mean given by μ = 63.6 in. and a standard deviation 2.5 in. a. If 1 woman is randomly selected, find the probability that her height is less than 65 in. b. If 36 women are randomly selected, find the probability that they have a mean height less than 65 in.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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4. Use the Central Limit Theorem. Assume that women's heights are normally distributed with
a mean given by u = 63.6 in. and a standard deviation 2.5 in.
a. If 1 woman is randomly selected, find the probability that her height is less than 65
in.
b. If 36 women are randomly selected, find the probability that they have a mean
height less than 65 in.
Transcribed Image Text:4. Use the Central Limit Theorem. Assume that women's heights are normally distributed with a mean given by u = 63.6 in. and a standard deviation 2.5 in. a. If 1 woman is randomly selected, find the probability that her height is less than 65 in. b. If 36 women are randomly selected, find the probability that they have a mean height less than 65 in.
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