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 3.14 milligrams. (b) The sample mean is 26 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 4% of the sample mean? within 0.4% 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. construct a 95% confidence interval is 61 servings. (a) The minimum sample size required (Round up to the nearest whole number.) (b) The 95% confidence interval is (.). It does not seem likely that the population mean could be within 4% of the sample mean because the interval formed by the values 4% away from the sample mean overlaps but does not entirely contain the confidence interval. It does not seem seem likely that the population mean could be within 0.4% of the sample mean because the interval formed by the values 0.4% away from the sample mean entirely contains the confidence interval. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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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 3.14 milligrams.
(b) The sample mean is 26 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 4% of the sample mean? within 0.4% 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.
construct a 95% confidence interval is 61 servings.
(a) The minimum sample size required
(Round up to the nearest whole number.)
(b) The 95% confidence interval is (.). It does not seem likely that the population mean could be within 4% of the sample mean because the interval formed by the values 4% away from the sample mean
overlaps but does not entirely contain the confidence interval. It does not seem seem likely that the population mean could be within 0.4% of the sample mean because the interval formed by the values 0.4% away from the sample mean
entirely contains
the confidence interval.
(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 3.14 milligrams. (b) The sample mean is 26 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 4% of the sample mean? within 0.4% 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. construct a 95% confidence interval is 61 servings. (a) The minimum sample size required (Round up to the nearest whole number.) (b) The 95% confidence interval is (.). It does not seem likely that the population mean could be within 4% of the sample mean because the interval formed by the values 4% away from the sample mean overlaps but does not entirely contain the confidence interval. It does not seem seem likely that the population mean could be within 0.4% of the sample mean because the interval formed by the values 0.4% away from the sample mean entirely contains the confidence interval. (Round to two decimal places as needed.)
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