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Bottling requirements using standard deviation and mean with sampling

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The can filling process of Coca-Cola cans require a mean 12.0 ounces with a standard deviation of 0.11 ounces. A random sample of 36 cans is taken, and it shows a sample mean is 12.19 ounces. Given the above information, does the sample mean suggest that Coca-Cola cans are being filled according to the filling requirements?

Mar 25th, 2015

the sample standard deviation is 0.11/sqrt(36) = 0.11/6 = 0.0183, 

Z = (12.19-12)/0.0183 = 10.38 

z>3, which imply that the bottle mean is larger than 12.00 onces  

Mar 25th, 2015

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