In: Statistics and Probability
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
I need help with the work behind the solutions