6) We make four independent measurement of the conductivity of a certain material. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X1 = 10, X2 = 14, X3 = 7, X4 = 9. a) Estimate the conductivity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 4. b) Estimate the standard deviation. c) Test the hypothesis that the conductivity is 7 on the 10%-significance level assuming the standard deviation to be known and equal to o = 4. d) Give a 90% confidence interval assuming the standard deviation not known.

6) We make four independent measurement of the conductivity of a certain material. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X1 = 10, X2 = 14, X3 = 7, X4 = 9. a) Estimate the conductivity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 4. b) Estimate the standard deviation. c) Test the hypothesis that the conductivity is 7 on the 10%-significance level assuming the standard deviation to be known and equal to o = 4. d) Give a 90% confidence interval assuming the standard deviation not known.

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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