In one statistics course, students reported studying an average of 9.92 hours a week, with a standard deviation of 4.54.Treating this class as the population, what is the percentile for a student in the class who studies 8 hours a week? (Round z score to two decimal places.)
A) 16.28
B) -16.28
C) 33.72
D) -33.72

Question

Quizplus · Accepted Answer

To find the percentile for a student who studies 8 hours a week, we need to first find the z-score associated with 8 hours:

z-score = (8 - 9.92) / 4.54 = -0.423

Using a standard normal distribution table, we can find that the area to the left of a z-score of -0.423 is 0.3336. This means that approximately 33.72% of students in the class study fewer than 8 hours a week. Therefore, the answer is C.

In One Statistics Course, Students Reported Studying an Average of 9.92