Answered: The diameter of a brand of 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

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.59 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected.

1. What is the probability that the sample mean is between 2.57 and 2.61 inches?

2. The probability is 63% that the sample mean will be between what two values symmetrically distributed around the population mean?

3. What is the probability that the sample mean is less than 2.56 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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