our 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 42 30 39 28 29 Brand B 28 36 31 32 27 Brand C 24 36 28 28 33 Brand D 20 32 38 28 25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Given: see image

find the critical value 

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
42
30
39
28
29
Brand B
28
36
31
32
27
Brand C
24
36
28
28
33
Brand D
20
32
38
28
25
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?
Transcribed Image Text: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 42 30 39 28 29 Brand B 28 36 31 32 27 Brand C 24 36 28 28 33 Brand D 20 32 38 28 25 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?
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