A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each tree’s main stem was measured. The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, 12.0 Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is \mu + 1.28\sigma (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of \mu and then use along with the estimate of \sigma )
A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each tree’s main stem was measured. The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, 12.0 Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is \mu + 1.28\sigma (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of \mu and then use along with the estimate of \sigma )
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each tree’s main stem was measured. The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, 12.0
Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is \mu + 1.28\sigma (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of \mu and then use along with the estimate of \sigma )
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