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Question 2: [15 marks, 5 each] Manufacturing and Product Development: The actual width of a 2×4...

Question 2: [15 marks, 5 each] Manufacturing and Product Development:

The actual width of a 2×4 piece of lumber is approximately 1 3/4 in (1.75 in). but can vary considerably. Larry’s Lumber advertises consistent dimensions for better building, and claims all 2×4 sold have a mean width of 1 3/4 in. with a standard deviation of 0.02 in.

  1. [5 marks] Assume the distribution of widths is approximately normal. Find a symmetric interval about the mean that contains almost all of the 2×4 widths. Show your work. (1.75

  2. [5 marks] Suppose a random 2×4 has width 1.78 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.

  3. [5 marks] Suppose a random 2×4 has width 1.68 in. Is there any evidence to suggest the Larry’s Lumber claim is wrong? Justify your answer.

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orchestra answered 1 year ago
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