Statistics Question
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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Step 1
let X denote the scores due to brightness discrimination,
& Y denote the scores due to pattern discrimination.
sample size, n = 10
Assuming that the scores are normally distributed. To test whether both the tasks were easier to learn or one easier than the other a paired t-test would be used. The hypothesis of no difference is
Under the null hypothesis, the test statistic is
where
&
Calculations for the test statistic
S.No. | X | Y | d=X-Y | (d - )2 |
1 | 22 | 14 | 8 | 0.36 |
2 | 16 | 8 | 8 | 0.36 |
3 | 10 | 5 | 5 | 5.76 |
4 | 15 | 7 | 8 | 0.36 |
5 | 25 | 13 | 12 | 21.16 |
6 | 33 | 15 | 18 | 112.36 |
7 | 8 | 10 | -2 | 88.36 |
8 | 26 | 15 | 11 | 12.96 |
9 | 18 | 11 | 7 | 0.16 |
10 | 13 | 14 | -1 | 70.56 |
Total | 186 | 112 | 74 | 312.4 |
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