In: Statistics and Probability
Suppose that a sample of 15 women had a mean heart rate of 73.93 and a sample standard deviation of 8.42. Assume that the distribution of women’s heart rates is normal. Use this data to answer the following:
a.) Construct the lower bound for a 99% confidence interval for the population mean heart rate of all women. Round answers to the hundredth.
b.) Construct the upper bound for a 99% confidence interval for the population mean heart rate of all women. Round answers to the hundredth.
c.) You just constructed a 99% confidence interval for the population mean heart rate of all women. If we left the confidence level the same, what would happen to the width of the interval if we increased the sample size to 100 women?
d.) You just constructed a 99% confidence interval for the population mean heart rate of all women. The American Medical Association claims the average heart rate for women is 69 bpm. Does your interval support or contradict this claim?