Posted by Vannessa on Tuesday, August 4, 2009 at 1:34pm.
An educator is considering two different videotapes for use in a halfday session designed to introduce students to the basics of economics. Students have been randomly assigned to two groups, and they all take the same written examination after viewing the videotape. The scores are summarized here. Assuming normal populations with equal standard deviations, does it appear that the two videotapes cold be equally effective? What is the most accurate statement that could be made about the pvalue for the test?
Videotape 1: ¯x1 = 77.1 s1 = 7.8 n1 = 25
Videotape 2: x¯2 = 80.0 s2 = 8.1 n2 = 25

statistics  MathMate, Tuesday, August 4, 2009 at 2:49pm
First make a hypothesis, for example,
H : the two tapes are equally effective, or
H : &mu_{1} = &mu_{2}
From the given data, calculate the tstatistic
t = (x̄2  x̄1)/sqrt(s1²/n1+s2²/n2)
Calculate the degrees of freedom:
dof = ((s1²/n1) + (s2²/n2))²/((s1²/n1)²/n1 + (s2²/n2)²/n2)
Look up the Student's ttest values for the corresponding probability that they are equally effective. Use the twotail test if there is no presumed domininance of one tape over the other.
A detailed numerical example is given in the following link:
http://www.jiskha.com/display.cgi?id=1249353992
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