The lifetimes in hours of two brands of batteries follow normal distributions with means x,y respectively and unequal variances. Independent random samples of 5 batteries from each brand are taken and the following data is observed. Test at the 5% significance level the null hypothesis that the means are equal against the alternative that they are not. The value of the test statistic and the decision are Brand A B n 5 5 2.365, reject the null hypothesis 7.98, reject the null hypothesis sample mean 210 190 0.0625, do not reject the null hypothesis 1.118, do not reject the null hypothesis sample variance 840 760
The lifetimes in hours of two brands of batteries follow normal distributions with means x,y respectively and unequal variances. Independent random samples of 5 batteries from each brand are taken and the following data is observed. Test at the 5% significance level the null hypothesis that the means are equal against the alternative that they are not. The value of the test statistic and the decision are Brand A B n 5 5 2.365, reject the null hypothesis 7.98, reject the null hypothesis sample mean 210 190 0.0625, do not reject the null hypothesis 1.118, do not reject the null hypothesis sample variance 840 760
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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Transcribed Image Text:The lifetimes in hours of two brands of batteries follow normal distributions with
means x,y respectively and unequal variances. Independent random samples of
5 batteries from each brand are taken and the following data is observed. Test at the
5% significance level the null hypothesis that the means are equal against the
alternative that they are not. The value of the test statistic and the decision are
Brand
A
B
n
5
5
2.365, reject the null hypothesis
7.98, reject the null hypothesis
sample mean
210
190
0.0625, do not reject the null hypothesis
1.118, do not reject the null hypothesis
sample variance
840
760
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