The mean of a normal distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds?
A) 0.5000
B) 0.1932
C) 0.4332
D) 0.3413

Question

Quizplus · Accepted Answer

The area between 415 pounds and the mean of 400 pounds is the area under the normal distribution curve between z-scores of (415-400)/10 = 1.5 and 0. The area under the normal distribution curve between any two z-scores can be found using a standard normal distribution table or a calculator. The area between z-scores of 1.5 and 0 is 0.4332.

The Mean of a Normal Distribution Is 400 Pounds