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Unformatted text preview: paper produced. You select a
random sample of 100 sheets, and the mean paper length is 10.998
inches. Construct a 95% and a 99% confidence interval estimate for the
population mean paper length. Comment on the functioning of the
At 99% confidence level, zα/2 = z.005 = 2.576
production process. Example 1 Interval Estimation 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 inches. 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 with the production
process to change the length of the paper produced. You select a
random sample of 100 sheets, and the mean paper length is 10.998
inches. Construct a 95% and a 99% confidence interval estimate for the
population mean paper length. Comment on the functioning of the
At 99% confidence level, zα/2 = z.005 = 2.576
production process.
Interval estimate:
x ± zα 2 σn
.02
10.998 ± 2.576 0100 10.998 ± 0.005152
10.992848 ≤ µ ≤11.003152 Example 1 Interval Estimation 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 inches. 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 with the production
process to change the length of the paper produced. You select a
random sample of 100 sheets, and the mean paper length is 10.998
inches. Construct a 95% and a 99% confidence interval estimate for the
population mean paper length. Comment on the functioning of the
At 99% confidence level, zα/2 = z.005 = 2.576
production process.
Interval estimate:
x ± zα 2 σn
.02
10.998 ± 2.576 0100 10.998 ± 0.005152
10.992848 ≤ µ ≤11.003152
With 99% confidence, we conclude that...
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 Spring '13

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