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40 votes
40 votes
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?

User CitizenInsane
by
2.3k points

1 Answer

9 votes
9 votes

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

User Jay Sidri
by
3.4k points
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