Answered: he percentage of heights less tahn 169…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the normal distribution of heights of adult women, which has a mean of 169 centimeters and a standard deviation of 7 centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.

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Standard Scores and Percentiles for a Normal Distribution

(cumulative values from the left)

Standard score

minus−3.0

0.13

0.1

53.98

minus−2.5

0.62

0.5

69.15

minus−2

2.28

0.9

81.59

minus−1.5

6.68

84.13

minus−1

15.87

1.5

93.32

minus−0.9

18.41

97.72

minus−0.5

30.85

2.5

99.38

minus−0.1

46.02

99.87

50.00

3.5

99.98

The percentage of heights less tahn 169 centimeters is ________%. Round to two decimal places as needed.

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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