x3 = −16.2 + 4.0x1 + 9.4x4 − 1.3x7

Suppose that n = 14 data points were used to construct the given regression equation and that the standard error for the coefficient of x4 is 0.963. Construct a 90% confidence interval for the coefficient of x4. 

Find the lower limit and upper limit. Then, using the information from the previous question and the level of significance 5%, test the the claim that the coefficient of x4 is different from zero.