Question

A normal distribution has \(\mu = 30\) and \(\sigma = 5\).
(c)Find the raw score corresponding to \(z =-2\).

Answer 1

\(\mu = 30\), \(\sigma = 5\), \(z = -2\).
We use the formula for normal distribution:
\(z=\frac{x-\mu}{\sigma}\)
\(x=\sigma z+\mu\)
\(x=5(-2)+30\)
\(x=-10+30\)
\(x=20\)
The raw score corresponding to \(z = -2\) for normal distribution with \(\mu = 30\), \(\sigma = 5\) is 20.