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 C 43 29 25 20 29 35 35 31 39 31 28 38 28 32 28 28 29 27 33 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? Find the p − value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 C
43 29 25 20
29 35 35 31
39 31 28 38
28 32 28 28
29 27 33 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? Find the p − value.

6. 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
43
29
39
28
29
Brand B
29
35
31
32
27
Brand C
25
35
28
28
33
Brand C
20
31
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? Find the p - value.
Transcribed Image Text:6. 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 43 29 39 28 29 Brand B 29 35 31 32 27 Brand C 25 35 28 28 33 Brand C 20 31 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? Find the p - value.
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