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An obstacle course was set up on a campus, and 11 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 = 0.10 to conclude that the students did better the second time? Assume the variables are normally distributed. (Consider the difference D= Before - After) Before 76 81 77 75 67 72 80 70 78 82 69 After 73 76 73 68 68 70 76 65 75 78 65

c) Compute the test value: O 1.t= 2.135 02. t=4.785 03. t= 5.988 d) Make the decision. 01. Reject the null hypothesis. 2.Do not reject the null hypothesis. e) Summarize the results. 1. There is enough evidence to support the claim. 2. There is not enough evidence to support the claim.