Question

the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean $mu$ and standard deviation $sigma$. according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean?
47.5%
68%
95%
99.7%

Explanation:

Step1: Recall Empirical Rule for normal dist.

The Empirical Rule states that for a normal distribution, the percentage of data within 3 standard deviations of the mean is a fixed value.

Step2: Identify the relevant percentage

For $\mu \pm 3\sigma$, the percentage is 99.7%.

Answer:

D. 99.7%