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Three brands of batteries are under study. It is suspected that the lives (in weeks) of...

  1. 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

97

76

105

96

71

102

98

75

104

96

74

99

93

73

102

  1. Are the average lives of these brands of batteries different?
    1. State the hypotheses,
    2. What is the value of the test statistic?
    3. What is the p-value?
    4. What is the decision?
    5. Make conclusions.
  2. Write down the appropriate statistical model and its assumption to be valid.
  3. Analyze the residuals from this experiment. Are the basic analysis of variance assumptions satisfied?
    1. State the hypotheses,
    2. What is the value of the test statistic?
    3. What is the p-value?
    4. What is the decision?
    5. Make conclusions.
Math   Statistics-And-Probability   
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