Question

a set of data items is normally distributed with a mean of 55 and a standard deviation of 2. convert 63 to a z - score.

( z _ { 63 } = 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 data value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

Here, \(x = 63\), \(\mu=55\), and \(\sigma = 2\).

$$
LATEXBLOCK0
$$

Step3: Calculate the value

\(\frac{8}{2}=4\)

Answer:

\(4\)