An automatic saw at a local lumber mill cuts 2 by 4 to an average length of 120

Question

An automatic saw at a local lumber mill cuts 2 by 4 to an average length of 120 inches. However, because the saw is a mechanical device, not all the boards are 120 inches long. In fact, the distribution of lengths has a various of 0.64. The saw operator took a sample of 36 boards. What is the probability the average length of the sample board s is more than 120.2 inches? What is the probability the sample mean length is less than 119.73? What should the saw operator conclude if he finds the sample to have an average length of 120.3 inches?

Explanation / Answer

please break this into multiple questions and I will answer these for you

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