Final answer:
According to the Empirical Rule, approximately 99.7% of the bags will have weights within 3 standard deviations of the mean.
Step-by-step explanation:
The Empirical Rule states that for data that is bell-shaped and symmetric, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and approximately 99.7% falls within three standard deviations of the mean.
Since we are looking for the percentage of bags within 3 standard deviations of the mean, we can conclude that the answer is option D, 99.7%.