31. An educator would like to assess the effectiveness of a new instructional pr
ID: 3312708 • Letter: 3
Question
31. An educator would like to assess the effectiveness of a new instructional program for reading. The control group consists of n = 4 second-grade students who are provided with the traditional instruction used at the school. Another sample of n = 4 second graders receives the experimental instruction. The subjects in the experimental group are matched one-to-one with the subjects in the control group, based on their reading achievement test scores from the previous year. After six months, both groups are tested with a standard reading exam. The data are as follows: (10 points).
Matched Pair Control Experimental
A 10 12
B 15 25
C 13 15
D 18 20
On the basis of these data, can the educator conclude that the special program has a significant effect on reader scores? Test at the .05 level.
Explanation / Answer
H0: the special program has not significant effect on reader scores
H1: the special program has a significant effect on reader scores
Let the los be alpha = 5%
From the above table
Descriptive Statistics: diff z = x-y
Total
Variable Count Mean StDev
diff z = x-y 4 -4.00 4.00
Test statistic t = Mean / (sd/sqrt(n) ) = -4 / (4/sqrt(4)) = -2
Critical t: ±3.1824
P-Value: 0.1393
Here t value is in critical value and p-value > alpha 0.05, so we accept H0
Thus we conclude that the special program has not significant effect on reader scores
Control (x) Experimental (y) diff z = x-y 10 12 -2 15 25 -10 13 15 -2 18 20 -2Related Questions
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