Answered: Given: n=130, σ = 25, level of…

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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Given: n=130, σ = 25, level of confidence is 90%. What is the margin of error of the given data?

Suppose that the amount of time spends by working students weekly is normally
distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes.
Determine the 95% confidence interval estimate of the population mean.

Compute for the sample size needed if the margin of error is 85, with a sample standard deviation of 215 and a 99% level of confidence.

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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