Answered: Consider two independent populations…

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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Consider two independent populations that are normally distributions. A simple random sample of n1=40 from the first population showed x¯1=71, and a simple random of size n2=43 from the second population showed ¯x¯2=68.

Suppose σ1=9 and σ2=2, find a 98% confidence interval for μ1−μ2.

Based on the confidence intervals you computed, what can you conclude?

A)We are 98% confidence that μ1>μ2μ1>μ2.

B)We are 98% confident that either μ1<μ2μ1<μ2 or μ1>μ2μ1>μ2

C)We are 98% confidence that μ1<μ2μ1<μ2.

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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