(a) Looking at the graph, is it reasonable to assume this sample comes from a normal population? Explain. (b) Compare the correlation coefficient with its corresponding critical value. Is it reasonable to assume this sample comes from a normal population? (show work) (c) Find the probability that a randomly selected student scored higher than 80.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The data below represents a sample of 10 Statistics exams scores (out of 100).
87.5
92.5
67
73
77.5
54
62.5
83
90.5
89
Given the probability plot:
Correlation 0.972
Normal Quantile
1
Mean Exam
0.5
73.5
Score
Standard
8.2
Deviation
-0.5
-1
-1.5
60
90
70
Exam Scores
80
Table VI
Sample Size, n
Critical Value
0.880
6.
0.888
7.
0.898
0.906
0,912
10
0.918
11
0.923
12
0.928
13
0.932
14
0.935
15
0.939
16
0.941
17
0.944
18
0.946
19
0,949
MacBook
Transcribed Image Text:The data below represents a sample of 10 Statistics exams scores (out of 100). 87.5 92.5 67 73 77.5 54 62.5 83 90.5 89 Given the probability plot: Correlation 0.972 Normal Quantile 1 Mean Exam 0.5 73.5 Score Standard 8.2 Deviation -0.5 -1 -1.5 60 90 70 Exam Scores 80 Table VI Sample Size, n Critical Value 0.880 6. 0.888 7. 0.898 0.906 0,912 10 0.918 11 0.923 12 0.928 13 0.932 14 0.935 15 0.939 16 0.941 17 0.944 18 0.946 19 0,949 MacBook
-1.5
80
70
Exam Scores
60
90
Table VI
Sample Size, n
Critical Value
5.
0.880
0.888
7.
0.898
0.906
0.912
10
0.918
11
0.923
12
0.928
13
0.932
14
0,935
15
0.939
16
0.941
17
0.944
18
0.946
19
0.949
20
0.951
(a) Looking at the graph, is it reasonable to assume this sample comes from a normal population?
Explain.
(b) Compare the correlation coefficient with its corresponding critical value, Is it reasonable to
assume this sample comes from a normal population? (show work)
(c) Find the probability that a randomly selected student scored higher than 80.
(d) Find the probability that a randomly selected student scored lower than a 50.
MacBook Pro
Transcribed Image Text:-1.5 80 70 Exam Scores 60 90 Table VI Sample Size, n Critical Value 5. 0.880 0.888 7. 0.898 0.906 0.912 10 0.918 11 0.923 12 0.928 13 0.932 14 0,935 15 0.939 16 0.941 17 0.944 18 0.946 19 0.949 20 0.951 (a) Looking at the graph, is it reasonable to assume this sample comes from a normal population? Explain. (b) Compare the correlation coefficient with its corresponding critical value, Is it reasonable to assume this sample comes from a normal population? (show work) (c) Find the probability that a randomly selected student scored higher than 80. (d) Find the probability that a randomly selected student scored lower than a 50. MacBook Pro
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