Aleyla, an educator, would like to investigate whether students’ IQ have an effect on their exam scores. She also wants to determine if teaching strategy is associated with whether students pass or fail in the exam (exam result). She then randomly selected twenty students and conducted an IQ test. Further, she randomly assigned them to the two teaching strategies. The students’ exam scores were recorded. 1. Test at 5% level of significance if teaching strategy is associated with exam. Test Procedure: ______________ p-value: _______________ Decision: _____________________ Conclusion: At alpha = 0.05,  ______________________________________________________________   2. At 5% level of significance, test whether the exam scores are indeed linearly dependent on IQ.   Ho: (in symbols)___; (in words) ____________________________________ Ha: (in symbols)___; (in words) ____________________________________ Test Procedure: _______________________________________ p-value: ____________________ Decision: ______________________ Conclusion: At alpha = 0.05, ______________________________________.

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Aleyla, an educator, would like to investigate whether students’ IQ have an effect on their exam scores. She also wants to determine if teaching strategy is associated with whether students pass or fail in the exam (exam result). She then randomly selected twenty students and conducted an IQ test. Further, she randomly assigned them to the two teaching strategies. The students’ exam scores were recorded.


1. Test at 5% level of significance if teaching strategy is associated with exam.

Test Procedure: ______________
p-value: _______________

Decision: _____________________

Conclusion: At alpha = 0.05, 
______________________________________________________________

 

2. At 5% level of significance, test whether the exam scores are indeed linearly dependent on IQ.  

Ho: (in symbols)___; (in words) ____________________________________
Ha: (in symbols)___; (in words) ____________________________________

Test Procedure: _______________________________________

p-value: ____________________

Decision: ______________________

Conclusion: At alpha = 0.05, ______________________________________.


Doornik-Hansen Test (Exam Scores vs IQ)
DH: 3.808173 p-value:
0.4325889
Correlation Coefficients between Exam Scores and IQ
Spearman's
Kendall's T =
0.6021854
Ha: not equal to 0
p-value = 0.0002619
Pearson's r
= 0.7403599
= 0.7680134
Ha: not equal to 0
Ha: not equal to 0
p-value
0.0001894
p-value = 0.0000768
Expected Frequencies of Strategy vs Exam Result
strategy FP
128
228
RcmdrMsg: [22] WARNING:
RcmdrMsg 2 expected frequencies are less than 5
Test of Independence between Strategy and Exam Result
Chi-Square p-
Fisher's Exact Test
value = 0.2636
p-value = 0.582
Regression of Exam Scores on IQ
Coefficients:
(Intercept)
Estimate Std. Error t value Pr(>|t|)
-23.9831
0.7955
20.5950 -1.165 0.259419
0.1703 4.673 0.000189 ***
iq
Signif. codes: **** 0.001 **** 0.01 0.05 0.1
Residual standard error: 8.92 on 18 degrees of freedom
Multiple R-squared: 0.5481, Adjusted R-squared: 0.523
F-statistic: 21.83 on 1 and 18 DF, p-value: 0.0001894
Transcribed Image Text:Doornik-Hansen Test (Exam Scores vs IQ) DH: 3.808173 p-value: 0.4325889 Correlation Coefficients between Exam Scores and IQ Spearman's Kendall's T = 0.6021854 Ha: not equal to 0 p-value = 0.0002619 Pearson's r = 0.7403599 = 0.7680134 Ha: not equal to 0 Ha: not equal to 0 p-value 0.0001894 p-value = 0.0000768 Expected Frequencies of Strategy vs Exam Result strategy FP 128 228 RcmdrMsg: [22] WARNING: RcmdrMsg 2 expected frequencies are less than 5 Test of Independence between Strategy and Exam Result Chi-Square p- Fisher's Exact Test value = 0.2636 p-value = 0.582 Regression of Exam Scores on IQ Coefficients: (Intercept) Estimate Std. Error t value Pr(>|t|) -23.9831 0.7955 20.5950 -1.165 0.259419 0.1703 4.673 0.000189 *** iq Signif. codes: **** 0.001 **** 0.01 0.05 0.1 Residual standard error: 8.92 on 18 degrees of freedom Multiple R-squared: 0.5481, Adjusted R-squared: 0.523 F-statistic: 21.83 on 1 and 18 DF, p-value: 0.0001894
student strategy iq
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1
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1
1
1
1234
5
678
9
10
11
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13
14
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16
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18
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20
1
1
1
N22T
1
22
22
2
NNNN
2
2
2
115
103
110
131
132
138
115
136
118
104
126
141
130
122
123
110
112
129
108
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score
result
78 P
65 P
50 F
78 P
82 P
95 P
80 P
84 P
66 P
75 P
80 P
90 P
80 P
55 F
64 P
58 F
65 P
79 P
62 P
50 F
Transcribed Image Text:student strategy iq 1 1 1 1 1 1 1 1234 5 678 9 10 11 12 13 14 15 16 17 18 19 20 1 1 1 N22T 1 22 22 2 NNNN 2 2 2 115 103 110 131 132 138 115 136 118 104 126 141 130 122 123 110 112 129 108 105 score result 78 P 65 P 50 F 78 P 82 P 95 P 80 P 84 P 66 P 75 P 80 P 90 P 80 P 55 F 64 P 58 F 65 P 79 P 62 P 50 F
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