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Four brands of flashlight batteries are to be compared by testing each brand in five flashlights. Twenty flashlights are randomly selected and divided randomly into four groups of five flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows: Brand A Brand B Brand C Brand D 32 31 37 29 32 34 34 28 29 25 28 33 31 36 37 35 35 29 32 29 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the four brands of batteries?

Four brands of flashlight batteries are to be compared by testing each brand in five flashlights. Twenty flashlights are randomly selected and divided randomly into four groups of five flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows: Brand A Brand B Brand C Brand D 32 31 37 29 32 34 34 28 29 25 28 33 31 36 37 35 35 29 32 29 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the four brands of batteries?

MATLAB: An Introduction with Applications
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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Part 1 of 2 Four brands of flashlight batteries are to be compared by testing each brand in five flashlights. Twenty flashlights are randomly selected and divided randomly into four groups of five flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows: Brand A Brand B Brand C Brand D 32 31 37 29 32 34 34 28 29 25 28 33 31 36 37 35 35 29 32 29 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the four brands of batteries? The data can be downloaded here: Download CSV (a). The null hypothesis is Ho: at least one of the four means is different Но: МА = µB = µc = µD O Ho: HA + HB + Hc + µD O Ho: A || (b). The alternative hypothesis is Ha: at least one of the four means is different O Ha:ữA TB = ¤c = XD O Ha: HA + µB + µC + µD O Ha: HA = µB = µc = µD Part 2 of 2
Transcribed Image Text:Part 1 of 2 Four brands of flashlight batteries are to be compared by testing each brand in five flashlights. Twenty flashlights are randomly selected and divided randomly into four groups of five flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows: Brand A Brand B Brand C Brand D 32 31 37 29 32 34 34 28 29 25 28 33 31 36 37 35 35 29 32 29 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the four brands of batteries? The data can be downloaded here: Download CSV (a). The null hypothesis is Ho: at least one of the four means is different Но: МА = µB = µc = µD O Ho: HA + HB + Hc + µD O Ho: A || (b). The alternative hypothesis is Ha: at least one of the four means is different O Ha:ữA TB = ¤c = XD O Ha: HA + µB + µC + µD O Ha: HA = µB = µc = µD Part 2 of 2
(b). The alternative hypothesis is Ha: at least one of the four means is different Ha:TA TB = Tc Ha: HA + HB # µc + µD Ha: HA = µB = µc = µD Part 2 of 2 (c). The test statistic is (use 3 decimal places) (d). The p-value is |(use 3 decimal places) // (е). We fail to reject the null hypothesis (f). There is insufficient evidence of a difference in mean lifetime among the four brands of batteries.
Transcribed Image Text:(b). The alternative hypothesis is Ha: at least one of the four means is different Ha:TA TB = Tc Ha: HA + HB # µc + µD Ha: HA = µB = µc = µD Part 2 of 2 (c). The test statistic is (use 3 decimal places) (d). The p-value is |(use 3 decimal places) // (е). We fail to reject the null hypothesis (f). There is insufficient evidence of a difference in mean lifetime among the four brands of batteries.
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