Answered: A company manufacturers tennis balls.…

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 company manufacturers tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.5 inches. This average is maintained by periodically testing random sampkes of 25 tennis balls. If the t-value falls between -t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sampke is 56.4 inches and the standard deviation is o.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptablr tennis balls?

Find -t0.99 and t0.99

Find the t-value

Is the company making acceptable tennis balls?

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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