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 0.79 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 3.11 milligrams. (b) The sample mean is 32 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.

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Author:Amos Gilat
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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 0.79 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 3.11 milligrams.
(b) The sample mean is 32 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
(Round up to the nearest whole number.)
servings.
likely that the population mean could be within
(b) The 95% confidence interval is (.). It
3% of the sample mean because the interval formed by the values 3% away from the sample mean
the confidence interval. It
seem likely that the population
mean could be within 0.3% of the sample mean because the interval formed by the values 0.3% away from the
the confidence interval.
sample mean
(Round to two decimal places as needed.)
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 0.79 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 3.11 milligrams. (b) The sample mean is 32 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 (Round up to the nearest whole number.) servings. likely that the population mean could be within (b) The 95% confidence interval is (.). It 3% of the sample mean because the interval formed by the values 3% away from the sample mean the confidence interval. It seem likely that the population mean could be within 0.3% of the sample mean because the interval formed by the values 0.3% away from the the confidence interval. sample mean (Round to two decimal places as needed.)
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