obstacle Course Times 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 α= 0.05  to conclude that the students did better the second time? Assume the variables are normally distributed. Student 1 2 3 4 5 6 7 8 9 10 11 Before 70 78 82 75 69 68 76 81 77 67 72 After 65 75 78 68 65 70 73 76 73 68 70     Compute the test value. Round the sample statistics and final answer to at least three decimal places. t=

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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obstacle Course Times 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 α= 0.05  to conclude that the students did better the second time? Assume the variables are normally distributed.

Student
1
2
3
4
5
6
7
8
9
10
11
Before
70
78
82
75
69
68
76
81
77
67
72
After
65
75
78
68
65
70
73
76
73
68
70
 
 

Compute the test value. Round the sample statistics and final answer to at least three decimal places.

t= 
 
 
 
 
 
 
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