The average score of all golfers for a particular course has a mean of 73 and a standard deviation of 3.5. Suppose 49 golfers played the course today. Find the probability that the average score of the 49 golfers exceeded 74.
A) .0228
B) .1293
C) .4772
D) .3707

Question

Quizplus · Accepted Answer

The z-score for an average score of 74 is (74 - 73) / 3.5 = 0.29. The probability that the average score of the 49 golfers exceeded 74 is the area under the normal distribution curve to the right of z = 0.29, which is 0.3707.

The Average Score of All Golfers for a Particular Course