In Roosevelt National Forest, the rang es and measured the base circumference a mean circumference of 15.71 inches of 4.63 inches. Find a 98% confidence

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**Problem 6**

**a)** In Roosevelt National Forest, the rangers took random samples of live aspen trees and measured the base circumference of each tree. A sample of 36 trees had a mean circumference of 15.71 inches and a population standard deviation of 4.63 inches. Find a 98% confidence interval for the mean circumference of all aspen trees in Roosevelt National Forest from this data.

**b)** Suppose a confidence interval constructed from this data was (14.945, 16.475) inches. What confidence level was used to produce this interval?
Transcribed Image Text:**Problem 6** **a)** In Roosevelt National Forest, the rangers took random samples of live aspen trees and measured the base circumference of each tree. A sample of 36 trees had a mean circumference of 15.71 inches and a population standard deviation of 4.63 inches. Find a 98% confidence interval for the mean circumference of all aspen trees in Roosevelt National Forest from this data. **b)** Suppose a confidence interval constructed from this data was (14.945, 16.475) inches. What confidence level was used to produce this interval?
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