Question

A normal distribution mu = 30 and sigma = 5. (b)Find the z score corresponding to x =42.

Normal distributions
A normal distribution $$\mu = 30$$ and $$\sigma = 5$$.
(b)Find the z score corresponding to $$x =42$$.

$$\mu = 30$$, $$\sigma = 5$$, $$x =25$$.
$$z = \frac{x-\mu}{\sigma}$$
$$z=\frac{25-30}{5}$$
$$z=-1.0$$
The z score corresponding to $$x = 25$$ for normal distribution with $$\mu = 30$$, $$\sigma =5$$ is -1.0.