In a study of exercise, a large group of male runners walk on a treadmill for 8 minutes. After this exercise, their heart rates vary with mean 8.5 beats per five seconds and standard deviation 1.1 beats per five seconds. This distribution takes only whole-number values, so it is certainly not Normal.
Let be the mean number of beats per five seconds after measuring heart rate for 12 five-second intervals.
What is the standard deviation (0.0001) of distribution of according to the central limit theorem? beats per five seconds
What is the probability (0.0001) that is less than 8?
What is the probability (0.0001) that the heart rate of a runner is less than 105 beats per minute?