Question

scores on a dental anxiety scale range from 5 (no anxiety) to 30 (extreme anxiety). the scores are normally distributed with a mean of 17 and a standard deviation of 4. find the z - score for the given score on this dental anxiety scale.
16
z = \square (type an integer or a decimal.)

Explanation:

Step1: Recall the z - score formula

The formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the raw score, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Identify the values of \(x\), \(\mu\), and \(\sigma\)

Given that \(x = 16\), \(\mu=17\), and \(\sigma = 4\).

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(-0.25\)