An educator is considering two different video tapes for use ina half -day sessi

Question

An educator is considering two different video tapes for use ina half -day session designed to introduce students to the basics ofeconomics. Students have been randomly assigned to two groups,and they take the same written examination after viewing thevideotape. The scores are summarized here. Assumingnormal populations with equal standard deviations, does it appearthat the two videotape could be equally effective? What is themost accurate statement that could be made about the p value forthe test?

Videotape 1: xbar 1(lowered) = 77.1      s (1 lowered) = 7.8     n (1 lowered) = 25

Videotape 2 : xbar (2 lowered) =80.0       s(2 lowered) =8.1       n(2 lowered) = 25

Explanation / Answer

The hypothesis is Ho:1=2 Ha:1 not equal 2 The test statistic is Z=(xbar1 - xbar2)/sqrt([S1^2/n1] + [S^2/n2]) =(77.1-80)/sqrt(7.8^2/25 +8.1^2/25) = -1.29 The p-value is 2*P(Z

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