Question

The scores on a standardized test are normally distributed with a mean of 95 and standard deviation of 10. What test score is 1.5 standard deviations below the mean?

Answer 1

Given:

Mean, μ = 95

Standard deviation, σ = 10

Let's find the test score 1.5 standard deviations below the mean.

To find the test score, apply the formula:

`X=\mu-1.5\sigma`

Thus, we have:

`\begin{gathered} X=95-1.5(10) \\ \\ X=95-15 \\ \\ X=80 \end{gathered}`

Therefore, the test score 1.5 standard deviations below the mean is 80 .

• ANSWER:

80