Question

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

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

2021-03-07
$$\mu = 30$$, $$\sigma = 5$$, $$z = -2$$.
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.