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?

Question

Mathematics

Francis Christensen

6 May, 04:10

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?

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Answers (1)

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Trevor Frederick · Answer 1

-1.54

Step-by-step 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