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A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inch. At periodic intervals, a sample is selected to determim whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 11.001 inches. A 95% confidence interval estimate for the population mean paper length is 10.99708sus11.00492. Is it true that you do not know for sure whether the population mean is between 10.99708 and 11.00492 inches? Explain. Choose the correct answer below. A. It is true because the population mean will be in the interval only 5% of the time. B. It is true because the population mean will be in the interval only 95% of the time. OC. It is false because the sample mean falls within the OD. It is false because the sample mean falls outside the interval interval. OO

A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inch. At periodic intervals, a sample is selected to determim whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 11.001 inches. A 95% confidence interval estimate for the population mean paper length is 10.99708sus11.00492. Is it true that you do not know for sure whether the population mean is between 10.99708 and 11.00492 inches? Explain. Choose the correct answer below. A. It is true because the population mean will be in the interval only 5% of the time. B. It is true because the population mean will be in the interval only 95% of the time. OC. It is false because the sample mean falls within the OD. It is false because the sample mean falls outside the interval interval. OO

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is, 0.02 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 11.001 inches. A 95% confidence interval estimate for the population mean paper length is 10.99708sus 11.00492. Is it true that you do not know for sure whether the population mean is between 10.99708 and 11.00492 inches? Explain. Choose the correct answer below. OA. It is true because the population mean will be in the interval only 5% of the time. OB. It is true because the population mean will be in the interval only 95% of the time. OC. It is false because the sample mean falls within the interval. D. It is false because the sample mean falls outside the interval.
Transcribed Image Text:A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is, 0.02 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 11.001 inches. A 95% confidence interval estimate for the population mean paper length is 10.99708sus 11.00492. Is it true that you do not know for sure whether the population mean is between 10.99708 and 11.00492 inches? Explain. Choose the correct answer below. OA. It is true because the population mean will be in the interval only 5% of the time. OB. It is true because the population mean will be in the interval only 95% of the time. OC. It is false because the sample mean falls within the interval. D. It is false because the sample mean falls outside the interval.
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