Question
Ms. Wilson's math test scores are normally distributed with a mean score of $73(\mu)$ and a standard deviation of $5(\sigma)$. Using the Empirical Rule, about $99.7 \%$ of the scores lie between which two values?

Provide your answer below:
$99.7 \%$ of the $x$-values lie between $\square$ and $\square$
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Step 1 ：The Empirical Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. The empirical rule can be broken down into three parts: 68% of data falls within the first standard deviation from the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

Step 2 ：In this case, the mean score is 73 and the standard deviation is 5.

Step 3 ：To find the range of scores that 99.7% of the students fall into, we need to calculate the values that are three standard deviations away from the mean.

Step 4 ：Three standard deviations below the mean is calculated as follows: \(73 - 3*5 = 73 - 15 = 58\)

Step 5 ：Three standard deviations above the mean is calculated as follows: \(73 + 3*5 = 73 + 15 = 88\)

Step 6 ：So, \(99.7 \%\) of the \(x\)-values (scores) lie between \(58\) and \(88\).

Step 7 ：The final answer is \(\boxed{58, 88}\)