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Question: The pulse rates below were recorded over a thirty second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Suppose pulse rates are normally distributed. Test using α = 0.05.
Before
31
25
30
33
32
45
After
29
37
40
35
34
52
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