Question

The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation According to the Empirical Rule, what percentage of the bags will have lengths within 3 standard deviations of the mean?
47.5%
68%
95%
99.7%

Answer 1

According to the Empirical rule 99.7% of normally distributed data is within 3 standard deviations of the mean.

Answer 2

Answer:

D. 99.7%

Step-by-step explanation:

We are told that the weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean and standard deviation.

Since the empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

• Approximately 68% data falls within 1 standard deviation of the mean.
• Approximately 95% of data falls within 2 standard deviation of the mean.
• Approximately 99.7% data falls within 3 standard deviation of the mean.

As the weights of 2-pound bags of Best Dog Food are normally distributed, therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.