SOLUTION: a manufacturing process produces bags of cookies. the distribution of conttent weights of these bags is normal with mean 15.0oz and standard deviation 1.0oz. we randomly select n b

Question 587315: a manufacturing process produces bags of cookies. the distribution of conttent weights of these bags is normal with mean 15.0oz and standard deviation 1.0oz. we randomly select n bags of cookies and weigh the contents of each bag selected. if 100 bags of cookies are selected randomly, the probability that the sample mean will be between 14.9 and 15.1oz is?
a) 0.0796
b) 0.6827
c) 0.3174
d) 0.9204
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a manufacturing process produces bags of cookies. the distribution of conttent weights of these bags is normal with mean 15.0oz and standard deviation 1.0oz. we randomly select n bags of cookies and weigh the contents of each bag selected. if 100 bags of cookies are selected randomly, the probability that the sample mean will be between 14.9 and 15.1oz is?
---
z(14.9) = (14.9-15)/[1/sqrt(100)] = -1
z(15.1) = (15.1-15)/[1/sqrt(100)] = 1
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P(14.9<= x <=15.1) = P(-1<= z <=1) = 0.6827
==================
Cheers,
Stan H.
==================
a) 0.0796
b) 0.6827
c) 0.3174
d) 0.9204

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