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The approximately 99.7% of the bags will have lengths within 3 standard deviations.
We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.
What is the empirical rule for a normal distribution?
The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.
So the approximately 68% data falls within 1 standard deviation of the mean.
and the approximately 95% of data falls within 2 standard deviation of the mean.
Now the 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.
To learn about the standard deviation visit:
https://brainly.com/question/475676
