Suppose that heights of trees in a forest follow a normal distribution with a mean height of 80 feet and standard deviation 8 feet. a. What percentile is a 87.2 foot tall tree?

b. What percent of samples of 9 trees would have a mean height less than 87.2 feet?

c. Out of a sample of 196 trees, how many would you expect to exceed 87.2 feet in height?

d. Out of 196 random samples of 9 trees, how many would you expect to have a sample mean that exceeds 87.2 feet in height?

e. What is the expected height of a tree in this forest?

f. 68% of all samples of 9 trees from this forest would be expected to have sample means between what two values?