Question

A cheese processing company wants to estimate the mean cholesterol content of all​ one-ounce servings of a type of cheese. The estimate must be within 0.77 milligram of the population mean.

​(a) Determine the minimum sample size required to construct a 95​% confidence interval for the population mean. Assume the population standard deviation is 3.12 milligrams.

​(b) The sample mean is 28 milligrams. Using the minimum sample size with a 95​% level of​ confidence, does it seem likely that the population mean could be within 3​% of the sample​ mean? within 0.3​% of the sample​ mean? Explain.

Answer 1