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In Testing the Hypothesis H0:μD=5H _ { 0 } : \mu _ { D } = 5

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In testing the hypothesis H0:μD=5H _ { 0 } : \mu _ { D } = 5 vs. H1:μD>5H _ { 1 } : \mu _ { D } > 5 , two random samples from two normal populations produced the following statistics: nD=20,xˉD=9, and sD=7.5n _ { D } = 20 , \bar { x } _ { D } = 9 \text {, and } s _ { D } = 7.5 . What conclusion can we draw at the 1% significance level?

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Rejection region: t > t0.01,19 = 2.53...

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