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In: Statistics and Probability

An automotive parts supplier assesses the usability and quality of the door locks that they provide....

An automotive parts supplier assesses the usability and quality of the door locks that they provide. The locks are manufactured at three different plants. The production manager wants to determine whether the plant affects the final product. The production manager collects data on locks from each plant, and gives a usability and quality rating. Data are found in the file Car Lock Ratings.

Plant Usability Rating
Plant A 5
Plant A 6
Plant A 5
Plant A 6
Plant A 6
Plant A 5
Plant A 4
Plant A 3
Plant A 4
Plant A 5
Plant A 4
Plant A 3
Plant A 6
Plant A 7
Plant A 8
Plant A 6
Plant A 8
Plant A 7
Plant A 6
Plant A 5
Plant A 6
Plant A 7
Plant A 7
Plant A 8
Plant B 6
Plant B 4
Plant B 5
Plant B 4
Plant B 3
Plant B 4
Plant B 5
Plant B 5
Plant B 6
Plant B 5
Plant B 5
Plant B 6
Plant B 7
Plant B 7
Plant B 6
Plant B 7
Plant B 6
Plant C 5
Plant C 4
Plant C 6
Plant C 6
Plant C 5
Plant C 7
Plant C 6
Plant C 5
Plant C 4
Plant C 4
Plant C 4
Plant C 5
Plant C 5
Plant C 6
Plant C 5
Plant C 6
Plant C 6
Plant C 5
Plant C 6
Plant C 7
Plant C 5
  1. State the null and alternate hypothesis we would run to determine if the Usability rating across all three manufacturing plants is the same.
  2. Run a one-way ANOVA on these data. Show Minitab output.
  3. What conclusions can you make based on the p-value of this test?
  4. Obtain boxplots and residuals plots of this data set.
  5. Have all assumptions been met? Explain using your plots to illustrate your answer.

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