Pulse rate is an important measure of the fitness of a person’s cardiovascular s

Question

Pulse rate is an important measure of the fitness of a person’s cardiovascular system. The mean pulse rate of all U.S. adult males is approximately 72 heartbeats per minute. A random sample of 30 U.S. adult males who jog at least 15 miles per week had a mean pulse rate of 52.6 beats per minute and a standard deviation of 3.22 beats per minute.

a. Find a 95% confidence interval for the mean pulse rate of all U.S. adult males who jog at least 15 miles per week. Interpret the result.

b. Does it appear that jogging at least 15 miles per week reduces the mean pulse rate for adult males? Explain.

Explanation / Answer

µ=72, s=3.22
sample mean=x=52.6 sample standard deviation=s=3.22
sample size=30
z.025=1.96
confidence interval (x-z.025s/v30, x+z.025s/v30) or ( 52.6-1.96*3.22/v30, 30+1.96*3.22/v30)        (52.6-1.15,52.6+1.15)
   (51.45, 53.75) The population mean is 72 which is not in 95% confidence interval, so exercise is significant.

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