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 percent of students study more than 13 hours a week? (Round z score to two decimal places.)
A) 15.91
B) 24.83
C) 25.17
D) 34.09

Question

Quizplus · Accepted Answer

We need to calculate the z-score for the given data to find the percentage of students who study more than 13 hours a week.

z-score = (x - μ) / σ

where x = 13 (number of hours studied by students), 
μ = 9.92 (mean number of hours studied by students), and 
σ = 4.54 (standard deviation of hours studied by students).

Substituting these values, we get:

z-score = (13 - 9.92) / 4.54 = 0.68

Using a standard normal distribution table or calculator, we find that the percentage of students who study more than 13 hours a week is 24.83%. Therefore, the best choice is B.

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