Answered: Heights of WOMEN in the U.S. are…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Question

Heights of WOMEN in the U.S. are normally distributed. Recent information shows:

Adult women height: µ = 63.8 inches with σ = 2.8 inches.

The middle 78% of U.S. women will be between ________ inches and ________ inches tall.

+Sample of RCCC Women's Heights - Spring 2022
Height (in inches)
Frequency
61
4
8
7
7
12
3
7
CC388688REN
62
64
65
66
67
69
70
71
72
2
0
1
0
1

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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