Question: An exercise physiologist wants to determine whether a certain type of running program will reduce rates. He measures the heart rates of 10 randomly selected people who are then placed on the running program. One year later the exercise physiologist again measures the heart rates of the 10 people. The heart rates, both before and after the running program, for the ten individuals, designated A through J, were as follows:

Assuming that the heart rates are normally distributed, do the data provide sufficient evidence to conclude that, on average, a person's heart rate declines after a year on this running program? Show all parts of the indicated test; report all values to 4-decimal places.