To estimate the amount of lumber in a tract of timber, an owner randomly selected seventy 50-by-50-foot squares, and counted the number of trees with diameters exceeding 12 inches in eachsquare. The data are listed here.8Live Frequency1049871080.400.350.300.250.200.1585 5 9110 5 8510684810 8 107 9 4USE SALT310107767107487677119108 8 79859 98878сл7 10989 7 7614(a) Construct a relative frequency histogram to describe the data.Frequency of lumber10 8ative Frequency0.400.350.300.250.200.15Frequency of lumberative Frequency0.400.350.300.250.200.1510Frequency of lumber (b) Calculate the sample mean x as an estimate of u, the mean number of trees for all 50-by-50-foot squares in the tract. (Round your answer to three decimal places.)X = 7.6286timber trees(c) Calculates for the data. (Round your answer to three decimal places.)S = 2.1344timber treesConstruct the intervals x ± s, x ± 2s, and x ± 3s. Calculate the percentage of squares falling into each of the three intervals, and compare with the corresponding percentages given by theEmpirical Rule and Tchebysheff's Theorem. (Round your interval values to three decimal places. Round actual percentages to two decimal places.)X+Sx + 2sx + 3sInterval3.360 to.1.225 toto 9.763Actual Percentage%%%Tchebysheffat leastat least 75%at least 89%%≈Empirical≈ 68%≈ 99.7%%

Data888103769991055910107889410581077588916474117868588789977710810671071014107948875108

Answered: To estimate the amount of lumber in a…

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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