Given:
Mean = 71 beats per minute
Standard deviation = 3 beats per minute
Required:
The percentage of the population that has a resting heart rate between 71 and 74
First, we convert to data to z-score values using the relationship below:
Z-score for 71 beats per minute:
Z-score for 74 beats for minute:
Using the normal distribution table, we can find the probability of having a population with a z-score between 0 and 1.
So,
The percentage of the population that has a resting heart rate between 71 and 74 is :
Answer = 34%