A sample of 500 evening students revealed that their annual incomes were normally distributed with a mean income of $50,000 and a standard deviation of $4,000. How many students earned less than $45,000?
A) 53
B) 197
C) 303
D) 35

Question

Quizplus · Accepted Answer

To find the number of students earning less than $45,000, we calculate the z-score: z = (45000 - 50000) / 4000 = -1.25. Using the standard normal distribution table, a z-score of -1.25 corresponds to a percentile of approximately 10.56%. Therefore, 10.56% of 500 students is about 53 students.

A Sample of 500 Evening Students Revealed That Their Annual