1. The mean scores and the standard deviations of two independent random samples of kindergarten children on a social perceptiveness measure are as follows: Group 1: x = 21.3, Group 2: x2 = 18.1 S; = 5.8 S2 = 7.5 Assuming that the populations from which the samples have been drawn are normally %3D n, = 20 n2 = 15 distributed and that the variances of the populations are equal, test if the difference between the two population means is significant at the .05 level.
1. The mean scores and the standard deviations of two independent random samples of kindergarten children on a social perceptiveness measure are as follows: Group 1: x = 21.3, Group 2: x2 = 18.1 S; = 5.8 S2 = 7.5 Assuming that the populations from which the samples have been drawn are normally %3D n, = 20 n2 = 15 distributed and that the variances of the populations are equal, test if the difference between the two population means is significant at the .05 level.
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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Transcribed Image Text:B. Problem Solving:
1. The mean scores and the standard deviations of two independent random samples of
kindergarten children on a social perceptiveness measure are as follows:
Group 1: X1 = 21.3,
Group 2: x2 = 18.1
S; = 5.8
S2 = 7.5
Assuming that the populations from which the samples have been drawn are normally
n; = 20
n2 = 15
distributed and that the variances of the populations are equal, test if the difference
between the two population means is significant at the .05 level.
2. The following data are the scores of the students in an examination.
Male
4
16
9 8
11
Female
2 5
7
6
Test the significance of the difference of the means between the two samples using
a = 10%.
3. A random sample of Grade 7 students were rated by their teacher on degree of responsibility
based on a scale of 30 points at the start of the school year. The same students were rated
by the same teacher at the end of the school year.
Start 25 22 20 21 20 15 17 22 29 16 19 18
End
26 23 23 22 22 20 19 20 28 18 21 26
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