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 0.04 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 10.997 inches. A 90% confidence interval estimate for the population mean paper length is 10.99042 sus 11.00358. Is it true that you do not know for sure whether the population mean is between 10.99042 and 11.00358 inches? Explain. .. Choose the correct answer below. A. It is false because the sample mean falls within the interval. B. It is false because the sample mean falls outside the interval. C. It is true because the population mean will be in the interval only 90% of the time. D. It is true because the population mean will be in the interval only 10% of the time.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 0.04 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 10.997 inches. A 90% confidence interval estimate for the population mean paper length is
10.99042 suS11.00358. Is it true that you do not know for sure whether the population mean is between 10.99042 and
11.00358 inches? Explain.
Choose the correct answer below.
O A. It is false because the sample mean falls within the interval.
O B. It is false because the sample mean falls outside the interval.
O C. It is true because the population mean will be in the interval only 90% of the time.
D. It is true because the population mean will be in the interval only 10% of the time.
O O O
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 0.04 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 10.997 inches. A 90% confidence interval estimate for the population mean paper length is 10.99042 suS11.00358. Is it true that you do not know for sure whether the population mean is between 10.99042 and 11.00358 inches? Explain. Choose the correct answer below. O A. It is false because the sample mean falls within the interval. O B. It is false because the sample mean falls outside the interval. O C. It is true because the population mean will be in the interval only 90% of the time. D. It is true because the population mean will be in the interval only 10% of the time. O O O
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