Answered: The Energetic Corporation produces…

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 Energetic Corporation produces electric light bulbs. When everything is going properly, the lengths of these light bulbs are normally distributed, with a mean of 3.00 inches, and a standard deviation of 0.10 inches. Suppose everything is going properly.If you take a random sample of just 1 bulb, what is the probability that its length will be within the range of 2.95– 3.05 inches? b. If you take a random sample of 10 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? c. If you take a random sample of 40 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches?

Suppose, in the situation above, you do not really know that everything is going properly. a. If your sample of 1 has a length outside the range of 2.95– 3.05, would you be concerned? b. If your sample of 10 has a mean length outside the range of 2.95– 3.05, would you be concerned? c. If your sample of 40 has a mean length outside the range of 2.95– 3.05, would you be concerned?

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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