Question: Aspen Trees: Base Circumference In Roosevelt National Forest, the rangers took random samples of live aspen trees and measured the base circumference of each tree.

1. The first sample had 30 trees with a mean circumference of x = 15.71 inches and a sample standard deviation of s = 4.63 inches. Find a 95% confidence interval for the mean circumference of aspen trees from these data.
2. The next sample had 90 trees with a mean of x = 15.58 inches and a sample standard deviation of s = 4.61 inches. Again, find a 95% confidence interval from these data.
3. The last sample had 300 trees with a mean of x = 15.59 inches and a sample standard deviation of s = 4.62 inches. Again, find a 95% confidence interval from these data.
4. Find the length of each interval of parts (a), (b), and (c). Comment on how these lengths change as the sample size increases.

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