Given data for the final examination scores for two classes in differential equa

Question

Given data for the final examination scores for two classes in differential equations X: 78, 89, 81, 94, 60, 67, 51, 73, 90, 93, 81, 68, 45, 100, 60, 102, 95, 87, 85, 96, 77, 79, 55, 89, 86, 75, 85, 76, 95, 84, 69 and Y: 65, 95, 94, 72, 56, 87, 89, 28, 71, 78, 54, 93, 91, 68, 88, 90, 69, 78, 69, 91, 70 (a) Test the hypothesis H0: mu X = mu Y against the alternative H1: mu X > mu Y at the alpha = 0.10 significance level assuming X and Y are N (mu X, sigma^2 X) and N (mu Y, sigma^2 Y) where sigma^2 X = sigma^2 Y

Explanation / Answer

Since p>0.1, we accept the null hypothesis.

Hypothesis Test: Independent Groups (t-test, pooled variance) x y 79.52 76.00 mean 14.60 16.75 std. dev. 31 21 n 50 df 3.516 difference (x - y) 240.035 pooled variance 15.493 pooled std. dev. 4.379 standard error of difference 0 hypothesized difference 0.80 t .2129 p-value (one-tailed, upper)

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