A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 30 bags in which the plate gap was varied. An analysis of variance from the regression showed that b, = 0.7501 an So, 0.2241. a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope. B₁. a. Determine the hypotheses for the test. Choose the correct answer below. OA. H₂ Boso H₁: B₂ > 0 OD. Ho: B₂50 H₁: B₁0 Compute the test statistic. The test statistic is 3.35. (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is (are) -2.05.2.05 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Reach a decision. B. H₂ P₁=0 H₁: B₁0 O E. Ho: Bo=0 H₁: B₂0 OC. Ho: B₂ 20 H₁: B₂ <0 OF H₂ B, 20 H₁: B₁ <0 Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee. b. The 95% confidence interval is sp, s (Round to four decimal places as needed.)