(a) Are the lives of these brands of batteries different? Conduct a hypothesis test. (b) Analyze the residuals from this experiment.

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Three brands of batteries are under study.  It is suspected that the lives (in weeks) of the three brands are different.  Five randomly selected batteries of each brand are tested with the following results:

Weeks of Life

Brand 1

Brand 2

Brand 3

100

76

108

96

80

100

92

75

96

96

84

98

92

82

100

(a) Are the lives of these brands of batteries different? Conduct a hypothesis test.

(b) Analyze the residuals from this experiment.

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to solve this problem we have to find ANOVA table 

we find ANOVA table by R-code:

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