A new drug results in lowering the heart rate by varying amounts with a standard deviation of 2.49 beats per minute.
a. Find a 95% confidence interval estimate for the mean lowering of the heart rate in all patients if a 50 person sample averages a drop in heart rate of 5.32 beats per minutes.
b. With what certainty can we assert that the new drug lowers the heart rate by a mean of 5.32 ± 0.75 beats per minute?