The time to complete an exam is approximately Normal with a mean $\mu=53$ minutes and a standard deviation $\sigma=3$ minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. 2. Used the Empirical Rule to complete the following statements: $68 \%$ of testing times were between minutes and minutes. $\%$ of the testing times were between 47 minutes and 59 minutes.

Step 1 ：The problem is asking for the application of the Empirical Rule, also known as the 68-95-99.7 rule, which states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Step 2 ：Given that the mean (\(\mu\)) is 53 minutes and the standard deviation (\(\sigma\)) is 3 minutes, we can use this rule to answer the questions.

Step 3 ：For the first question, 68% of testing times were between (mean - 1 standard deviation) and (mean + 1 standard deviation). So, 68% of testing times were between \(53 - 3 = 50\) minutes and \(53 + 3 = 56\) minutes.

Step 4 ：For the second question, we need to calculate the percentage of testing times that were between 47 minutes and 59 minutes. This range is equivalent to (mean - 2 standard deviations) and (mean + 2 standard deviations), which according to the Empirical Rule, should encompass 95% of the testing times.

Step 5 ：Final Answer: \(\boxed{68\%}\) of testing times were between \(\boxed{50}\) minutes and \(\boxed{56}\) minutes. \(\boxed{95\%}\) of the testing times were between 47 minutes and 59 minutes.