Answered: We predict that children exhibit more…

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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Page 160 #17

We predict that children exhibit more aggressive act after watching a violent television show. The scores for ten children were recorded before they watched a violent show and then after they watched a violent show. Aggression was measured in terms of number of aggressive acts (e.g. hitting, yelling, kicking etc).

Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1

Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2

Use social sciences calculator to calculate t_obtand mark the statistic.

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Expert Solution

Step 1

Given : We have given that ,

Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1

Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2

Here we calculate means for after TV show and before TV show

$M e a n (x_{1}) = 3.7 M e a n (x_{2)} = 2.7$

For after TV show

$(x)$	$x - (x)$	${(x - (x))}^{2}$
5	1.3	1.69
6	2.3	5.29
4	0.3	0.09
4	0.3	0.09
7	3.3	10.89
3	-0.7	0.49
2	-1.7	2.89
1	-2.7	7.29
4	0.3	0.09
1	-2.7	7.29
Total=37	2.7	36.1

For before TV show

y	$y - (y)$	${(y - (y))}^{2}$
4	1.3	1.69
6	3.3	10.89
3	-0.3	0.09
2	-0.7	0.49
4	1.3	1.69
1	-1.7	2.89
0	-2.7	7.29
0	-2.7	7.29
5	2.3	5.29
2	-0.7	0.49
Total =27	-0.6	38.10

$S^{2} = \frac{1}{n_{1} + n_{2} - 2} \times (\sum_{i = 1}^{n} {(x_{i} - (x))}^{2} + \sum_{j = 1}^{n} {(y i - (y))}^{2}) S^{2} = \frac{1}{10 + 10 - 2} \times (36.1 + 38.10) S^{2} = 4.122 n_{1} = 10, n_{2} = 10$

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