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10.3 Significance Test for the Slope. Test the null hypothesis that the slope is zero versus...

10.3 Significance Test for the Slope. Test the null hypothesis that the slope is zero versus the two-sided alternative in each of the following settings using the α = 0.05 significance level:

a.)    n = 20, ŷ = 28.5 + 1.4x, and SEb1 = 0.65

b.)    n = 30, ŷ = 30.8 + 2.1x, and SEb1 = 1.05

c.)    n = 100, ŷ = 29.3 + 2.1x, and SEb1 = 1.05

The correct answers (answers from the back of the textbook: Introduction to the Practice of Statistics, ninth edition) should be (a) t = 2.154, df = 19, 0.04 < P-value < 0.05 (b) t = 2, df = 29, 0.05 < P-value < 0.10 (c) t = 2, df = 99, 0.04 < P-value < 0.05

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