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 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F952bcd3e-4a7c-474a-8dd6-ddd08471460a%2Ff12fe8e1-2648-41ed-b15c-f31a1baa5f96%2Fwctk6b_processed.jpeg&w=3840&q=75)
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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