Two independent experiments measure the theory parameter y. The negative log-likelihood as a function of the parameter y is given by: Experiment 1: -InL = 0.6 + 1.2(x - 1.6) 2 Experiment 2: -InL = 0.5+ 1.8(x - 1.4)2 a) For each experiment, calculate the central value and the value of the negative In at the central value. b) For each experiment, calculate the (1-0) uncertainty on the central value and state the final result in the format x = xxxx. c) Use the two -In curves to find the average of the two experiments and its standard deviation. d) A third, independent, experiment measures a value pf x3 = 1.3 + -0.5. Determine the average of the three experiments and its standard derivation.

Two independent experiments measure the theory parameter y. The negative log-likelihood as a function of the parameter y is given by: Experiment 1: -InL = 0.6 + 1.2(x - 1.6) 2 Experiment 2: -InL = 0.5+ 1.8(x - 1.4)2 a) For each experiment, calculate the central value and the value of the negative In at the central value. b) For each experiment, calculate the (1-0) uncertainty on the central value and state the final result in the format x = xxxx. c) Use the two -In curves to find the average of the two experiments and its standard deviation. d) A third, independent, experiment measures a value pf x3 = 1.3 + -0.5. Determine the average of the three experiments and its standard derivation.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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