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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 23PFA
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87351664-192b-44e9-8681-fefec31a9dea%2Fcfc1e70b-286f-4b71-a9fe-a7eba44fe9a4%2Fcb7q164_processed.png&w=3840&q=75)
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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