In a science competition between two states, 20 students from each state were selected for the final stage. These students were given the same mathematics, chemistry, and English exams at the same time and under the same conditions. 4 marks for each exam from each state were randomly selected from each of the groups of 20 students, and recorded in the following table:

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a science competition between two states, 20 students from each state were selected for
the final stage. These students were given the same mathematics, chemistry, and English
exams at the same time and under the same conditions. 4 marks for each exam from each
state were randomly selected from each of the groups of 20 students, and recorded in the
following table:
State 1
State 2
Mathematics
98.6
74.2
79.0
94.7
88.6
90.7
90.8
89.6
Chemistry
78.6
88.4
82.1
93.1
93.6
84.2
88.9
96.0
English
92.8
88.9
85.6
83.6
98.4
96.0
78.4
91.1
a) Find summary statistics for the exam marks, across both States, Subjects, and the
combination of both variables using the statistical package of your choice.
Transcribed Image Text:In a science competition between two states, 20 students from each state were selected for the final stage. These students were given the same mathematics, chemistry, and English exams at the same time and under the same conditions. 4 marks for each exam from each state were randomly selected from each of the groups of 20 students, and recorded in the following table: State 1 State 2 Mathematics 98.6 74.2 79.0 94.7 88.6 90.7 90.8 89.6 Chemistry 78.6 88.4 82.1 93.1 93.6 84.2 88.9 96.0 English 92.8 88.9 85.6 83.6 98.4 96.0 78.4 91.1 a) Find summary statistics for the exam marks, across both States, Subjects, and the combination of both variables using the statistical package of your choice.
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b) Perform a two-way ANOVA to investigate the effect of State and Subject on exam marks
and write the conclusion.
Plot the interaction if it exists.
Transcribed Image Text:b) Perform a two-way ANOVA to investigate the effect of State and Subject on exam marks and write the conclusion. Plot the interaction if it exists.
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Follow-up Question
b) Perform a two-way ANOVA to investigate the effect of State and Subject on exam marks
and write the conclusion.
Plot the interaction if it exists.
Transcribed Image Text:b) Perform a two-way ANOVA to investigate the effect of State and Subject on exam marks and write the conclusion. Plot the interaction if it exists.
Solution
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