Obstacle Course Times An obstacle course was set up on a campus, and 12 volunteers were given a chance to complete it while they were being timed. They then sampled a new energy drink and were given...

Extracted text: Obstacle Course Times An obstacle course was set up on a campus, and 12 volunteers were given a chance to complete it while they were being timed. They then sampled a new energy drink and were given the opportunity to run the course again. The "before" and "after" times in seconds are shown below. Is there sufficient evidence at a=0.10o to conclude that the students did better the second time? Assume the variables are normally distributed. Student 1 3 4 6. 7 8. 9. 10 11 12 Before 76 81 77 75 67 72 80 80 78 82 69 68 After 73 76 73 68 68 70 76 65 75 78 65 70 Send data to Excel Part 1 of 5 (a) Sta e claim. TH one-tailed v test. Part 2 of 5 TEther Ite them with Part: 2 / 5 Part 3 of 5 (c) Compute the test value. Round the sample statistics and final answer to at least three decimal places.