The following samples are independently selected from two populations which follow the normal distributions with equal variance.Sample 1Sample 2n1=10n2=12x¯1=20x¯2=18s1=5s2=4.5One wishes to test the following hypothesesH0:μ1−μ2=0Ha:μ1−μ2>0.Find the rejection region for the above test with significance level of .01. (−∞,−2.33)(−∞,−2.528)(2.575,∞)(2.33,∞)

Answered: The following samples are independently…

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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The following samples are independently selected from two populations which follow the normal distributions with equal variance.

Sample 1	Sample 2
n1=10	n2=12
x¯1=20	x¯2=18
s1=5	s2=4.5

One wishes to test the following hypotheses

H0:μ1−μ2=0Ha:μ1−μ2>0.

Find the rejection region for the above test with significance level of .01.

(−∞,−2.33)

(−∞,−2.528)

(2.575,∞)

(2.33,∞)

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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