Question

sociology professor has created a new assessment of political awareness. In using the assessment, she has determined that political awareness is normally distributed in college students with a population mean of 35.3 and a population standard deviation of 8.6. What is the z-score for a student who gets a 22 on this test?

Answer 1

-1.54

Explanation:

We have that the mean (m) is equal to 35.3, the standard deviation (sd) 8.6

They ask us for P (x <22)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (22 - 35.3) / (8.6)

z = -1.54

22 score to z-score is -1.54