62. The article "Quantitative Estimation of Clay Mineralogy in Fine-Grained Soils" (J. of Geotechnical and Geoenvironmental Engr., 2011: 997-1008) report- ed on various chemical properties of natural and artificial soils. Here are observations on x cation exchange capacity (CEC, in meq/100 g) and y = specific surface area (SSA, in m2/g) of 20 natural soils. 66 121 134 101 77 89 63 57 117 118 175 324 460 288 205 210 295 161 314 265 76 125 75 71 133 104 76 96 58 109 y 236 355 240 133 431 306 132 269 158 303 Minitab gave the following output in response to a request for r: correlation of x and y : 0.853 Normal probability plots of x and y are quite straight. a. Carry out a test of hypotheses to see if there is a positive linear association in the population from which the sample data was selected. b. With n = 20, how small would the value of r have to be in order for the null hypothesis in the test of (a) to not be rejected at significance level .01? Calculate a confidence interval for p using a 95% confidence level. с.

62. The article "Quantitative Estimation of Clay Mineralogy in Fine-Grained Soils" (J. of Geotechnical and Geoenvironmental Engr., 2011: 997-1008) report- ed on various chemical properties of natural and artificial soils. Here are observations on x cation exchange capacity (CEC, in meq/100 g) and y = specific surface area (SSA, in m2/g) of 20 natural soils. 66 121 134 101 77 89 63 57 117 118 175 324 460 288 205 210 295 161 314 265 76 125 75 71 133 104 76 96 58 109 y 236 355 240 133 431 306 132 269 158 303 Minitab gave the following output in response to a request for r: correlation of x and y : 0.853 Normal probability plots of x and y are quite straight. a. Carry out a test of hypotheses to see if there is a positive linear association in the population from which the sample data was selected. b. With n = 20, how small would the value of r have to be in order for the null hypothesis in the test of (a) to not be rejected at significance level .01? Calculate a confidence interval for p using a 95% confidence level. с.

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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