Researchers are interested in whether the pulse of long-distance runnersdiffers from that of other athletes. They obtain a random sample of 8 longdistance runners, measure their resting pulse, and obtain the following data: 45, 42, 64, 54, 58, 49, 47, 55.

The average resting pulse of athletes in the general population is 60 beats per minute. Test the null hypothesis at the 0.01 level of significance. If appropriate (because the null hypothesis is rejected).

Required:
Construct a 99 percent confidence interval for the population mean, based on the sample mean.