Question

A forester measured 27 of the trees in a large woods that is up for sale. He found a mean
diameter of 10.4 inches and a standard deviation of 4.7 inches. Suppose that these trees
provide an accurate description of the whole forest and that a Normal model applies.

For each problem, show the shaded region.

For each problem show your work.

If you used your diagram (show it by the shaded region) or the
calculator.

State the keystrokes if using a calculator.

a) Draw the Normal model for tree diameters.
b) What size would you expect the central 95% of all trees to be?
c) About what percent of the trees should be less than an inch in diameter?
d) About what percent of the trees should be between 5.8 and 10.4 inches in diameter?
e) About what percent of the trees should be over 15 inches in diameter?

Answer 1