Question: Given the simple regression model Y = 0 + 1X And the regression results that follow, test the null hypothesis that the slope coefficient is

Given the simple regression model
Y = β0 + β1X
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 0.05, and determine the two-sided 95% and 99% confidence intervals.
a. A random sample of size n = 38 with b1 = 5 sb1 = 2.1
b. A random sample of size n = 46 with b1 = 5.2 sb1 = 2.1
c. A random sample of size n = 38 with b1 = 2.7 sb1 = 1.87
d. A random sample of size n = 29 with b1 = 6.7 sb1 = 1.8

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