Question: A forester measured 27 of the trees in a large forest that is to be sold. He found that mean diameter of the 27 trees was 10.4 inches with a standard deviation of 4.7 inches. Suppose that this group of trees provides an accurate description of the trees in the whole forest and that the distribution of the tree diameters is normal.

1. What are the limits within which you would expect to find the middle 95% of the tree diameters?
2. What percent of the trees would have a diameter of 1 inch or less?
3. What percent of the trees would have a diameter between 5.7 and 10.4 inches?
4. What percent of the trees would be over 15.1 inches in diameter?
5. What percent of the trees would be less than 10.4 inches in diameter?

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