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 that sign that looks like 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 51 31 33 44 39 48 40 54
After 46 35 48 50 32 52 59 48