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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
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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