Question

the variable x is normally distributed with μ = 60.00 and σ = 10.00. determine the z - score for the randomly chosen value 53.00. round your z - score to 2 decimal places.

Explanation:

Step1: Recall the z - score formula

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

Step2: Substitute the given values into the formula

We are given that \(x = 53.00\), \(\mu=60.00\), and \(\sigma = 10.00\). Substituting these values into the formula:

$$
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$$

Answer:

\(-0.70\)