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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?

User Ian Fiddes
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1 Answer

7 votes

Answer:

For required percentage of the bags will have weights within 3 standard deviations of the mean will in 99.7 %

Explanation:

Given:

The 2 -pound bags is normally distributed with help of Empirical Rule.

To Find:

what percentage of the bags will have weights within 3 standard deviations of the mean

Solution:

The weight of 2 pounds of bags are normally distributed.

Hence the curve will have two tailed hypothesis with normal distributed curve.

So Using Empirical Rule which state the following :

For normal distributed mean and S.D. it has three parts as follows:

1) 68% of data falls within the first S.D. from the mean.

2)95% falls within 2nd S.D.

3)99.7 % falls within 3rd S.D.

we have to calculate for the 3rd S.D.

Hence the data will falls 3rd S.D. will be 99.7%

User Cyril Beschi
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