A drug manufacturer wants to estimate the mean heart rate for patients with a certain heart condition. Because the condition is rare, the manufacturer can only find 15 people with the condition currently untreated. From this small sample, the mean heart rate is 92 beats per minute with a standard deviation of 8.
(a) Find a 98% confidence interval for the true mean heart rate of all people with this untreated condition. Show your calculations and/or describe the process used to obtain the interval.
(b) Interpret this confidence interval and prepare a sentence that describes it.