Consider the following summary statistics for data obtained in a simple linear regression analysis.
β^0 = -34.38
n = 18
MSE = 103.27
β^1 = 3.38
x‾ = 15.367
Sxx = 138.14
a. Conduct a hypothesis test to determine whether there is any evidence that the true mean value of Y for x = 16.2 is greater than 20. Use a significance level of 0.05.
b. Conduct a hypothesis test to determine whether there is any evidence that the true mean value of Y for x = 11.5 is different from 5. Use a significance level of 0.01.