Suppose that a sample of 15 women had a mean heart rate of 73.93and a sample standard deviation of 8.42. Assume that thedistribution of women’s heart rates is normal. Use this data toanswer the following:
a.) Construct the lower bound for a 99% confidence interval forthe population mean heart rate of all women. Round answers to thehundredth.
b.) Construct the upper bound for a 99% confidence interval forthe population mean heart rate of all women. Round answers to thehundredth.
c.) You just constructed a 99% confidence interval for thepopulation mean heart rate of all women. If we left the confidencelevel the same, what would happen to the width of the interval ifwe increased the sample size to 100 women?
d.) You just constructed a 99% confidence interval for thepopulation mean heart rate of all women. The American MedicalAssociation claims the average heart rate for women is 69 bpm. Doesyour interval support or contradict this claim?
