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 0.76 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 3.05 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. 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.) (b) The 95% confidence interval is ( )I V seem likely that the population mean could be within 3% of the sample mean because 3% off from the sample mean would fall v the confidence interval. It V seem likely that the population mean could be within 0.3% of the sample mean because 0.3% off from the sample mean would fall V the confidence interval. (Round to two decimal places as needed.)

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For the first fill in the blanks in part B) the options are it “does” or “does not” seem likely, for the second, “inside” or “outside” the confidence intervals, third, “does” or “does not” seem likely, and the last one is “outside” or “inside”
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 0.76 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 3.05
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.
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.)
(b) The 95% confidence interval is ( ). It
seem likely that the population mean could be within 3% of the sample mean because 3% off from the sample
mean would fall
V the confidence interval. It
V seem likely that the population mean could be within 0.3% of the sample mean because 0.3% off from
the sample mean would fall
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 0.76 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 3.05 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. 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.) (b) The 95% confidence interval is ( ). It seem likely that the population mean could be within 3% of the sample mean because 3% off from the sample mean would fall V the confidence interval. It V seem likely that the population mean could be within 0.3% of the sample mean because 0.3% off from the sample mean would fall the confidence interval. (Round to two decimal places as needed.)
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