15.35 Heart Rate and Exercise Exercise 11.58 presented data (data set EX1158) 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 = 0.01.

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

a. c. Since the F test in Exercise 11.58 and the H test in part a are both tests to detect differences in location of the four heart-rate populations, how do the test results compare? Compare the p-values for the two tests and explain the implications of the comparison.

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10-19 20-39 40-59 60-69 29 33 26 27 2222 39 35 33 29 36 22 22882 3 2 8 24 27 33 31 3323 37 28 25 29 22 34 36 21 28 21 26 20 24 30 25 34 34 24 21 27 33 32 33 32 Total 309 275 295 282