An experiment measures the distribution of a variable in 5 bins. The established theory predicts for this measurement a linear decrease with the bin number: bin 1 2 3 4 5 prediction 32 28 24 22 18 The experiment measures the following number of events: bin 1 2 3 45 21 14 8 observed events: 36 26 a) Formulate the null-hypothesis Ho. b) Perform a x2 test and comment on the outcome. c) Now derive the p-value and state whether the theory is excluded at the 30 significance level. State the probability for a type-1 error. d) The experiment realizes that their measured numbers per bin are affected by a Gaussian systematic uncertainty of σsys = 3.5. This uncertainty is not correlated across the bins. Perform the necessary calculations and derive an updated statement about whether the theory is excluded at a significance of 30. Suggest a way to improve the sensitivity of the measurement.

An experiment measures the distribution of a variable in 5 bins. The established theory predicts for this measurement a linear decrease with the bin number: bin 1 2 3 4 5 prediction 32 28 24 22 18 The experiment measures the following number of events: bin 1 2 3 45 21 14 8 observed events: 36 26 a) Formulate the null-hypothesis Ho. b) Perform a x2 test and comment on the outcome. c) Now derive the p-value and state whether the theory is excluded at the 30 significance level. State the probability for a type-1 error. d) The experiment realizes that their measured numbers per bin are affected by a Gaussian systematic uncertainty of σsys = 3.5. This uncertainty is not correlated across the bins. Perform the necessary calculations and derive an updated statement about whether the theory is excluded at a significance of 30. Suggest a way to improve the sensitivity of the measurement.

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)...

See similar textbooks

Similar questions

Please answer number 3
Answer number 5
Can you answer number 3?
Can you answer number 2?
Please answer within 30 minutes
PLEASE ANSWER NUMBER 2
answer 1
please type the answer please thanks
Please answer number 5
Answer only number 3. Please send exact solution. Thank you.
Answer Qn 3
Answer is -1.6 How would I get it.