A school psychologist is interested in determining if children with attention de
ID: 3225148 • Letter: A
Question
A school psychologist is interested in determining if children with attention deficit disorder (ADD) learn better if English literature is read to them rather than having them read the material themselves. A random sample of 10 sixth graders with ADD is selected and divided into two groups of 5 each. One of the groups has a story read to them (Listening Group) and the other reads the story themselves (Reading Group). A quiz on the story is given after each group has finished reading or hearing the story. The following scores were obtained with 20 being a perfect score. Please analyze this data using a two-tailed test at the = .05 level.
Reading Group
Listening Group
8
10
7
12
6
15
12
13
11
10
x = 8.6
x = 12.2
SS = 23.20
SS = 14.8
n = 5
n = 5
What kind of statistical test should be performed?
What is the critical value of the test statistic?
What is the standard error for the test statistic?
What is the value of the test statistic?
What should the researcher conclude?
The confidence interval for this study was calculated as .42 to 6.78. What is the appropriate interpretation of the confidence interval?
Reading Group
Listening Group
8
10
7
12
6
15
12
13
11
10
x = 8.6
x = 12.2
SS = 23.20
SS = 14.8
n = 5
n = 5
Explanation / Answer
a) H0: 1 - 2 = 0 i.e. (1 = 2)
H1: 1 - 2 0 i.e. (1 2)
Assuming population variances are equal, we would have to calculate pooled-variance t-Test
Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)
= (5-1)*23.2^2+(5-1)*14.8^2/4+4
= 2152.96+876.16/8
=378.64
tSTAT=(X1-X2)-(µ1-µ2)/Sp^2(1/n1+1/n2)
=(8.6-12.2)-0/378.64(1/5+1/5)
=-3.6/151.45
=0.02
tCRIT=2.306 and hence, it does not lie in the rejection region and hence we cannot reject the null hypothesis.
We are 95% confident that the value of the mean is between 0.42 and 6.78
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