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 a probability of Type I error equal to 0.10, and determine the two-sided 90% and 95% confidence intervals.
a. A random sample of size n = 38 with β₁ = 4 and sβ₁ = 2.8
b. A random sample of size n = 50 with β₁ = 4.1 and sβ₁ = 2.8
c. A random sample of size n = 38 with β₁ = 2.4 and sβ₁ = 0.99
d. A random sample of size n = 26 with β₁ = 7.1 and sβ₁ = 0.9
a. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using a probability of Type I error equal to 0.10. Reject H₀: There is sufficient evidence that the slope coefficient is greater than zero. Determine the two-sided 90% confidence interval. Round to two decimal places as needed.