Answered: A confidence interval is desired for…

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 confidence interval is desired for the true mean stray-load loss (Watts) for a certain type of induction motor. Assume that the stray-load loss is normally distributed with =3.3Watts.

Situation 3: You take 100 measurements of stray-load loss from induction motors and determine that the mean of your sample is 53.6 Watts. When you calculate the 95% confidence interval for this situation, you get: (52.95 Watts, 54.25 Watts) is a 95% confidence interval for M.

Compare this confidence interval to the interval you calculated in Situation 1. They are both 95% confidence intervals, but they have different sample sizes. What effect did sample size have on the interval estimate endpoints?

Question 1: 25 sample size, Confidence Interval: (52.3064,54.8936)

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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