Answered: Assume that women's heights are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

Assume that women's heights are normally distributed with a mean given by

μ=63.2 inches and a standard deviation given by σ=2.5 in.

(a) If 1 woman is randomly selected, find the probability that her height is less than

64 inches.

(b) If 36 women are randomly selected, find the probability that they have a mean height less than 64

inches

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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