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 11.2 10.7 12.3 15.9 10.8 12.8 16.9 10.1 11.3 11.0 10.7 12.0 (a) Compute a point estimate of σ, the population standard deviation of main stem diameter. (Round your answer to three decimal places.) σ = Inches What statistic did you use to obtain your estimate? O sample range sample proportion sample standard deviation sample variance sample mean (b) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is μ + 1.280 (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 a from part (a). Round your answer to three decir places.) +1.280 = Inches

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
100%

9.1.4

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.
11.2 10.7 12.3 15.9 10.8 12.8 16.9 10.1
11.3 11.0 10.7 12.0
(a) Compute a point estimate of σ, the population standard deviation of main stem diameter. (Round your answer to three decimal places.)
σ=
inches
What statistic did you use to obtain your estimate?
sample range
sample proportion
sample standard deviation
sample variance
sample mean
(b) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is µ + 1.28σ (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 your answer to three decimal
places.)
μ + 1.286 =
inches
Transcribed Image Text: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. 11.2 10.7 12.3 15.9 10.8 12.8 16.9 10.1 11.3 11.0 10.7 12.0 (a) Compute a point estimate of σ, the population standard deviation of main stem diameter. (Round your answer to three decimal places.) σ= inches What statistic did you use to obtain your estimate? sample range sample proportion sample standard deviation sample variance sample mean (b) Suppose that the diameter distribution is normal. Then the 90th percentile of the diameter distribution is µ + 1.28σ (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 your answer to three decimal places.) μ + 1.286 = inches
Expert Solution
steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman