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 0.66 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 3.14 milligrams. (b) The sample mean is 31 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. Click here to view page 1 of the Standard Normal Table. Click here view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 95% confidence interval is servings. (Round up to the nearest whole number.)

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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 0.66
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 3.14
milligrams
(b) The sample mean is 31 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.
Click here to view page 1 of the Standard Normal Table. Click here view page 2 of the Standard Normal Table.
(a) The minimum sample size required to construct a 95% confidence interval is servings.
(Round up to the nearest whole number.)
Transcribed Image Text: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 0.66 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 3.14 milligrams (b) The sample mean is 31 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. Click here to view page 1 of the Standard Normal Table. Click here view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 95% confidence interval is servings. (Round up to the nearest whole number.)
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