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Question 4 Another Chi-square goodness-of-fit test. Consider the following sorted twelve ob- servations of data: -3.05 -0.28 -0.08 -0.02 0.03 0.18 0.23 0.26 0.36 2.08 2.73 4.26 (a) Complete the following table. Category Observed Expected if N(O 1) Expected if to

Question 4 Another Chi-square goodness-of-fit test. Consider the following sorted twelve ob- servations of data: -3.05 -0.28 -0.08 -0.02 0.03 0.18 0.23 0.26 0.36 2.08 2.73 4.26 (a) Complete the following table. Category Observed Expected if N(O 1) Expected if to

MATLAB: An Introduction with Applications
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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Question 4 Another Chi-square goodness-of-fit test. Consider the following sorted twelve ob- servations of data: -3.05 -0.28 -0.08 -0.02 0.03 0.18 0.23 0.26 0.36 2.08 2.73 4.26 (a) Complete the following table. Category <-3 -3 to -2 -2 to -1 -1 to 0 0 to 1 1 to 2 2 to 3 > 3 Observed Expected if N(0,1) Expected if t₂ (b) Using the table from part (a), perform two Chi-square goodness-of-fit tests to see how well this data fits a N(0, 1) distribution and how well it fits a të distribution. Report p-values or intervals of p-values. What is your conclusion? To find expected counts, calculate probabilities from N(0,1) and t_2 distributions and multiply by n = 12. For example 12*P(-3 < Z < −2). See 12/2 slides. The p-value should be "right-sided". Do you think either, both or neither distributions provide a decent fit?
Transcribed Image Text:Question 4 Another Chi-square goodness-of-fit test. Consider the following sorted twelve ob- servations of data: -3.05 -0.28 -0.08 -0.02 0.03 0.18 0.23 0.26 0.36 2.08 2.73 4.26 (a) Complete the following table. Category <-3 -3 to -2 -2 to -1 -1 to 0 0 to 1 1 to 2 2 to 3 > 3 Observed Expected if N(0,1) Expected if t₂ (b) Using the table from part (a), perform two Chi-square goodness-of-fit tests to see how well this data fits a N(0, 1) distribution and how well it fits a të distribution. Report p-values or intervals of p-values. What is your conclusion? To find expected counts, calculate probabilities from N(0,1) and t_2 distributions and multiply by n = 12. For example 12*P(-3 < Z < −2). See 12/2 slides. The p-value should be "right-sided". Do you think either, both or neither distributions provide a decent fit?
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