Can you answer no. 2? B. Problem Solving:1. The mean scores and the standard deviations of two independent random samples ofkindergarten children on a social perceptiveness measure are as follows:Group 1: X1 = 21.3,Group 2: x2 = 18.1S; = 5.8S2 = 7.5Assuming that the populations from which the samples have been drawn are normallyn; = 20n2 = 15distributed and that the variances of the populations are equal, test if the differencebetween the two population means is significant at the .05 level.2. The following data are the scores of the students in an examination.Male4169 811Female2 576Test the significance of the difference of the means between the two samples usinga = 10%.3. A random sample of Grade 7 students were rated by their teacher on degree of responsibilitybased on a scale of 30 points at the start of the school year. The same students were ratedby the same teacher at the end of the school year.Start 25 22 20 21 20 15 17 22 29 16 19 18End26 23 23 22 22 20 19 20 28 18 21 26

Males are taken as group 1.Females are taken as group 2. Given: n1=5n2=6α=0.10

Answered: 2. The following data are the scores of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Can you answer no. 2?

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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