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

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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