Question

on a standardized exam, the scores are normally distributed with a mean of 750 and a standard deviation of 25. find the z - score of a person who scored 715 on the exam.

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 \(x = 715\), \(\mu=750\), and \(\sigma = 25\).

Step3: Substitute the values into the formula

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Answer:

\(-1.4\)