A researcher is interested in determining whether teens who transfer schools after their freshman year in high school demonstrat

Question

2 years ago

15

A researcher is interested in determining whether teens who transfer schools after their freshman year in high school demonstrat

e
more behavior problems on the Achenbach Youth Self Report test with a population mean of 50 and a population standard deviation of
10. The researcher has a sample of 100 teens with a mean score of 59. What is your obtained z?

Mathematics

1 answer:

Kay [80] · Answer 1 · 2023-09-14T20:27:35+03:00

The z-score of the number of teens that transfered schools is the standard score

The obtained value of z is 5

<h3>How to determine the value of z?</h3>

The given parameters are:

Population mean, μ = 50
Population standard deviation, σ = 10
Sample, x = 100
Sample mean = 59

The z-value is calculated using:

z = (x - μ)/σ

Substitute known values in the above formula

z = (100 - 50)/10

Evaluate the difference

z = 50/10

Evaluate the quotient

z = 5

Hence, the obtained value of z is 5