Answered: Which statement is true about where 95%…

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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Question

A stringing machine is a device for adjusting the tension of strings in a tennis racket. Some tennis players ask for a string tension of 65 pounds. The actual tension pro- duced by the machine for the rackets belonging to these players varies according to a normal distribution with mean 65 pounds and standard deviation 2 pounds. Use this informaion to answer this question and the next question.

Which statement is true about where 95% of the possible string tension weight is?

A. Between 60 pounds and 67 pounds

B. Between 63 pounds and 67 pounds

C. Between 59 pounds and 71 pounds

D. Between 61 pounds and 69 pounds

E. Between 60 pounds and 69 pounds

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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