7. 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 = 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 40 42 47 41 52 32 39 49

After 33 46 36 55 39 49 52 52

· 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 40 42 47 41 52 32 39 49

After 33 46 36 55 39 49 52 52

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