1. The math department offers free tutoring during "Open Labs" for Introductory Statistics students four times a week. The table below records the number of "Open Labs" visits during the semester for a sample of students along with each student's final exam grade. Use the appropriate statistical test to determine if it is beneficial to attend "Open Labs". All appropriate statistical procedures/tests should be done with 5% P-value or 95% Confidence Interval. # of "Open Labs" visits39109146548107954411Final exam grade82908276857341568070668865706290 Click here for the Open_labs-PA#4 data. (3 points) a. P-value = 0.0325. Since P < 0.05, the test is inconclusive. We do not have enough evidence to state that attending "Open Labs" is beneficial. b. P-value = 3.43E-06. Since P < 0.05, there is significant evidence to state that attending "Open Labs" is beneficial. c. P-value = 8.54306E-14. Since P > 0.05, there is significant evidence to state that attending "Open Labs" is beneficial. d. P-value = 0.01318. Since P < 0.05, there is significant evidence to state that attending "Open Labs" is beneficial. e. None of the choices. 1. Doctors obtained the data below on the number of recovery days in the hospital using the new and old oral surgery procedures. Using the new and old surgery procedures, do the data provide sufficient evidence to conclude that the mean number of recovery days in the hospital is smaller with the new surgery procedure than with the old procedure? Use the appropriate statistical test to determine if the using new surgery procedure results in a smaller mean number of recovery days. All appropriate statistical procedures/tests should be done with 5% P-value or 95% Confidence Interval. New oral surgery procedure896107878766679710Old oral surgery procedure5617159987 Click here for Oral_surgery PA#4 data. (3 points) a. P-value = 0.0113. We are 95% confident that the data provide sufficient evidence to conclude that the mean number of recovery days in the hospital is smaller with the new oral surgery procedure than with the old procedure. b. P-value = 0.1239. The test is inconclusive and we cannot conclude that the mean number of recovery days in the hospital is smaller with the new oral surgery procedure than with the old procedure. c. P-value = 0.2478. The test is inconclusive and we cannot conclude that the mean number of recovery days in the hospital is smaller with the new oral surgery procedure than with the old procedure. d. P-value = 0.025. We are 95% confident that the data provide sufficient evidence to conclude that the mean number of recovery days in the hospital is smaller with the new oral surgery procedure than with the old procedure. e. None of the choices