An educator is considering two different videotapes for use in a half-day 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 below. Assuming normal populations with equal standard deviations, does it appear that the two videos could be equally effective? Assume a 95% confidence level. Videotape 1: X1 = 77.1, s1 = 7.8, n1 = 25 Videotape 2: X2 = 80.0, s2 = 8.1, n2 = 25

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(Attatched t-test formula below)

 

An educator is considering two different videotapes for use in a half-day 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 below.
Assuming normal populations with equal standard deviations, does it appear that the two videos could be equally
effective? Assume a 95% confidence level.
Videotape 1: X1 = 77.1, s1 = 7.8, n1 = 25
Videotape 2: X2 = 80.0, s2 = 8.1, n2 = 25
Transcribed Image Text:An educator is considering two different videotapes for use in a half-day 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 below. Assuming normal populations with equal standard deviations, does it appear that the two videos could be equally effective? Assume a 95% confidence level. Videotape 1: X1 = 77.1, s1 = 7.8, n1 = 25 Videotape 2: X2 = 80.0, s2 = 8.1, n2 = 25
[x₁-x₂] - [14₂₁-4₂₂] ₂
21+1
where s
and df = n₁
'p n
2
р
+ 1₂
=
- 2
n.
2.
(n − 1)· s₂ ² + (n₂ −1)· s₂²
2
2
n+n₂-2
Transcribed Image Text:[x₁-x₂] - [14₂₁-4₂₂] ₂ 21+1 where s and df = n₁ 'p n 2 р + 1₂ = - 2 n. 2. (n − 1)· s₂ ² + (n₂ −1)· s₂² 2 2 n+n₂-2
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