8. Heart Rate and Exercise In Exercise 18 (Section 11.3), we presented data on the heart rates for samples of 10 men randomly selected from each of four age groups. Each man walked a treadmill at a fixed grade for a period of 12 minutes, and the increase in heart rate (the difference before and after exercise) was recorded

(in beats per minute). The data are shown in the table

a. Do the data present sufficient evidence to indicate differences in location for at least two of the four age groups?
Test using the Kruskal–Wallis H-test with a 5.01.

b. Find the approximate p-value for the test in part a.

c. Since the F-test in Chapter 11 and the H-test are both tests to detect differences in location of the four heart-rate populations, how do the test results compare?
If the ANOVA F-test produced the test statistic F50.87 with p-value50.468, compare this p-value with the p-value in part b and explain the implications of the comparison.

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