Question: The pulse rates below were recorded over a 30-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? Assume pulse rates are normally distributed. Test using a= 0.05.
State the null and alternate hypotheses
Calculate the mean and standard deviation
Determine which test statistic applies, and calculate it
Determine the critical value(s).
State your decision: Should the null hypothesis be rejected?
Before      52    43    31    42    40    48    34    37
After       59    45    58    47    30    48    39    37

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