Faculty in the psychology department at State University consume an average of 5 cups of coffee per day with a standard deviation of 1.5.The distribution is normal.What is the percentile rank for an individual who consumed 8 cups of coffee per day?
A)97.72
B)2.28
C)47.72
D)none of the options is correct

Question

Quizplus · Accepted Answer

To find the percentile rank of an individual who consumed 8 cups of coffee per day, we need to standardize this value by subtracting the population mean and dividing by the population standard deviation: (8-5)/1.5 = 2. 
Using a standard normal distribution table or calculator, we can find that the percentile rank associated with a z-score of 2 is approximately 97.72%, which is the answer choice A.

Faculty in the Psychology Department at State University Consume an Average