heese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The estimate must be within 0.69 ligram of the population mean. Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 3.12 ligrams. The sample mean is 33 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 3% ho oomr on2 within 0 29/ of th an3 Exploin

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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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 0.69
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 33 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.
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 0.69 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 33 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.
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