3) (9.8) 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 given below. (don't forget units) 11.5 10.8 12.2 15.9 10.4 12.4 16.9 10.1 11.2 11.0 10.8 12.0 (data totals 145.2) a) (3) Compute a point estimate of σ, the population standard deviation of main stem diameters. (Round to 3 dec) Use your calculator, no work needs to be shown. Answer: b) (3) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is +1.28 σ (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of μ and then use it along with your estimate of σ from part (a). Round answer to three decimal places.) estimate of μ: Sketch and shade the 90th percentile labeling the mean & your answer below
3) (9.8) 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 given below. (don't forget units) 11.5 10.8 12.2 15.9 10.4 12.4 16.9 10.1 11.2 11.0 10.8 12.0 (data totals 145.2) a) (3) Compute a point estimate of σ, the population standard deviation of main stem diameters. (Round to 3 dec) Use your calculator, no work needs to be shown. Answer: b) (3) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is +1.28 σ (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile. (Hint: First compute an estimate of μ and then use it along with your estimate of σ from part (a). Round answer to three decimal places.) estimate of μ: Sketch and shade the 90th percentile labeling the mean & your answer below
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3.9.8
Transcribed Image Text:3) (9.8) 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 given below. (don't forget units)
11.5 10.8 12.2 15.9 10.4 12.4 16.9 10.1 11.2 11.0 10.8 12.0 (data totals 145.2)
a) (3) Compute a point estimate of σ, the population standard deviation of main stem diameters. (Round to 3 dec)
Use your calculator, no work needs to be shown. Answer:
b) (3) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is
+1.28 σ (so 90% of all trees have diameters less than this value). Compute a point estimate for this percentile.
(Hint: First compute an estimate of μ and then use it along with your estimate of σ from part (a). Round answer to
three decimal places.)
estimate of μ:
Sketch and shade the 90th percentile
labeling the mean & your answer below
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