Answer:
For required percentage of the bags will have weights within 3 standard deviations of the mean will in 99.7 %
Step-by-step 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%
