An experiment was conducted to examine the effect of age on heart rate when a person is subjected to a specific amount of exercise. Ten male subjects were randomly selected from four age groups: 10-19, 20-39, 40-59, and 60-69. Each subject walked on 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):

Use an appropriate computer program to answer these questions:
a. Do the data provide sufficient evidence to indicate a difference in mean increase in heart rate among the four age groups? Test by using a = .05.
b. Find a 90% confidence interval for the difference in mean increase in heart rate between age groups 10-19 and 60-69.
c. Find a 90% confidence interval for the mean increase in heart rate for the age group 20-39.
d. Approximately how many people would you need in each group if you wanted to be able to estimate a group mean correct to within two beats per minute with probability equal to .95?

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