Suppose that (Y,, X,) satisfy the assumptions specied here and in addition, u; is N (0, 03) and independent of X,-. A random sample of n = 30 is drawn and yields ?= 53.62 + 71 .37X, R2 = 0.49, SER = 1.6 (5.4) (8.8) Where the numbers in parentheses are the homoskedasticonly standard errors for the regression coefcients [30 and [31 respectively. Refer to the student tdistribution with n 2 degrees of freedom to answer the following questions. Construct a 95% condence interval for [30 using the student tdistribution (with n 2 degrees of freedom) table available here. The 95% confidence interval for #0 is [ 42.56 , 64.68 ]. (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that 1 equals 55 at the 5% level. That is, H0: #1 =55 VS. H11155 Report the tstatistic for this test. The tstatistic is