Answered: You are given the null and alternative…

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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You are given the null and alternative hypotheses H0: μ1≥μ2 and HA:μ1<μ2 together with the sample information to the right. Complete parts a and b below.		Sample 1	Sample 2
n1=12	n2=14
x1=577	x2=591
s1=27.5	s2=26.8

a. Assuming that the populations are normally distributed with equal variances, test at the 0.05 level of significance whether to reject the null hypothesis based on the sample information. Use the test statistic approach.

Construct the rejection region. Select the correct choice below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

t<−tα/2 =____ or t>tα/2=____

B. t>tα =

C. t<−tα =

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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