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Sampling Error and Sample Size

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A produce manager wants to estimate the mean size of coke bottle fills with 95 percent confidence. A preliminary sample of 12 bottles shows a sample standard deviation of 3 mil, and mean of 500.
(A) What is the sampling or testing error?
(B) What would be the sample size to reduce the error to half its value?

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Solution Preview

Please see the attached file.
(A) What is the sampling or testing error?

95% Confidence

Mean= M = 500
Standard deviation =s = 3
sample size=n= 12
s x=standard error of mean=s / square root of n= 0.8660 = ( 3 / square root of 12)
Confidence level= ...

Solution Summary

The solution calculates the sampling error and the sample size required to reduce the error to half its value

$2.19