A set of exam scores is normally distributed with a mean $=84$ and standard deviation $=9$. Use the Empirical Rule to answer the following questions.
$95 \%$ of the data values lie between and
$\%$ of the exam scores are less than or equal to 84.
$\%$ of the exam scores are less than or equal to 75.
$\%$ of the exam scores are less than or equal to 102.
$\%$ of the exam scores are less than or equal to 93.

Step 1 ：Given that the set of exam scores is normally distributed with a mean of 84 and a standard deviation of 9.

Step 2 ：The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution, almost all data falls within three standard deviations of the mean. Specifically, 68% of data falls within one standard deviation, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Step 3 ：To find the range of scores that 95% of the data values lie between, we need to calculate the values of mean - 2*standard deviation and mean + 2*standard deviation.

Step 4 ：Substituting the given values, we get lower bound as \(84 - 2*9 = 66\) and upper bound as \(84 + 2*9 = 102\).

Step 5 ：Final Answer: 95% of the data values lie between 66 and 102. So, the answer is \(\boxed{66}\) and \(\boxed{102}\).