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 8 inches, and the standard deviation of the length is 0.03 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 8 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 8.001 inches. A 99% confidence interval estimate for the population mean paper length is 7.99326≤μ≤8.00874. Is it true that you do not know for sure whether the population mean is between 7.99326 and 8.00874 inches? Explain. Question content area bottom Part 1 Choose the correct answer below. A. It is false because the sample mean falls outside the interval. B. It is true because the population mean will be in the interval only 1% of the time. C. It is true because the population mean will be in the interval only 99% of the time. D. It is false because the sample mean falls within the interval.
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 8 inches, and the standard deviation of the length is 0.03 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 8 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 8.001 inches. A 99% confidence interval estimate for the population mean paper length is 7.99326≤μ≤8.00874. Is it true that you do not know for sure whether the population mean is between 7.99326 and 8.00874 inches? Explain. Question content area bottom Part 1 Choose the correct answer below. A. It is false because the sample mean falls outside the interval. B. It is true because the population mean will be in the interval only 1% of the time. C. It is true because the population mean will be in the interval only 99% of the time. D. It is false because the sample mean falls within the interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Question
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
8
inches, and the standard deviation of the length is
0.03
inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to
8
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
8.001
inches. A
99%
confidence interval estimate for the population mean paper length is
7.99326≤μ≤8.00874.
Is it true that you do not know for sure whether the population mean is between
7.99326
and
8.00874
inches? Explain.Question content area bottom
Part 1
Choose the correct answer below.
It is false because the sample mean falls outside the interval.
It is true because the population mean will be in the interval only
1%
of the time.It is true because the population mean will be in the interval only
99%
of the time.It is false because the sample mean falls within the interval.
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