Suppose that (Y;, ✗;) satisfy the assumptions specified here and in addition, u; is N (0, 62) and independent of X;. A random sample of n = 23 is drawn and yields Ŷ= = 46.96 + 69.03X, R² = 0.23, SER = 1.5 (13.9) (7.3) Where the numbers in parentheses are the homoskedastic-only standard errors for the regression coefficients Bo and B₁ respectively. Refer to the student t distribution with n - 2 degrees of freedom to answer the following questions. Construct a 95% confidence interval for Bo using the student t distribution (with n- 2 degrees of freedom) table available here. The 95% confidence interval for ẞo is (Round your responses to two decimal places) Suppose you wanted to test the hypothesis that B₁ equals 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ #55 Report the t-statistic for this test. The t-statistic is (Round your response to two decimal places) Based on the t-statistic computed above, would you reject the null hypothesis at the 5% level? A. No. B. Yes. Suppose you wanted to test that ẞ₁ equals 55 versus the alternative that B₁ is greater than 55 at the 5% level. That is, Ho B₁ =55 vs. H₁: B₁ > 55 . Based on the t-statistic of 1.92 computed above, would you reject the null hypothesis at the 5% level? A. Yes.