The actual width of a 24 piece of lumber is approximately 1 3/4 in (1.75 in)....

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The actual width of a 24 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 24 sold have a mean width of 1 3/4 in. with a standard deviation of 0.02 in. a. [5 marks] Assume the distribution of widths is approximately normal. Find a symmetric interval about the mean that contains almost all of the 24 widths. Show your work. (1.75 b. [5 marks] Suppose a random 24 has width 1.78 in. Is there any evidence to suggest the Larry's Lumber claim wrong? Justify your answer. C. [5 marks] Suppose a random 24 has width 1.68 in. Is there any evidence to suggest the Larry's Lumber claim is wrong? Justify your answer. The actual width of a 24 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 24 sold have a mean width of 1 3/4 in. with a standard deviation of 0.02 in. a. [5 marks] Assume the distribution of widths is approximately normal. Find a symmetric interval about the mean that contains almost all of the 24 widths. Show your work. (1.75 b. [5 marks] Suppose a random 24 has width 1.78 in. Is there any evidence to suggest the Larry's Lumber claim wrong? Justify your answer. C. [5 marks] Suppose a random 24 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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