Question: Given the simple regression model Y = b0 + b1X and the regression results that follow, test the null hypothesis that the slope coefficient is

Given the simple regression model Y = b0 + b1X and the regression results that follow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.01, and determine the two-sided 90% and 95% confidence intervals.

a. A random sample of size n = 35 with b1 = 5, sb1 = 1.9

b. A random sample of size n = 50 with b1 = 5.2, sb1 = 1.9

c. A random sample of size n = 35 with b1 = 1.8, sb1 = 1.25

d. A random sample of size n = 32 with b1 = 8.6, sb1 = 1.2

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