4.1 Kane (1986) discusses the concentricity of an engine oil seal groove. Concentric- ity measures the cross-sectional coaxial relationship of two cylindrical features. In this case, he studied the concentricity of an oil seal groove and a base cylin- der in the interior of the groove. He measures the concentricity as a positive deviation using a dial indicator gauge. Historically, the standard deviation for the concentricity is 0.7. To monitor this process, he periodically takes a random sample of three measurements. a. A recent sample yielded a sample mean of 5.8. Construct a 95% confidence interval for the true mean concentricity. b. Find the sample size required to estimate the true mean concentricity to within ±0.2 using a 95% confidence interval.
4.1 Kane (1986) discusses the concentricity of an engine oil seal groove. Concentric- ity measures the cross-sectional coaxial relationship of two cylindrical features. In this case, he studied the concentricity of an oil seal groove and a base cylin- der in the interior of the groove. He measures the concentricity as a positive deviation using a dial indicator gauge. Historically, the standard deviation for the concentricity is 0.7. To monitor this process, he periodically takes a random sample of three measurements. a. A recent sample yielded a sample mean of 5.8. Construct a 95% confidence interval for the true mean concentricity. b. Find the sample size required to estimate the true mean concentricity to within ±0.2 using a 95% confidence interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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Transcribed Image Text:4.1 Kane (1986) discusses the concentricity of an engine oil seal groove. Concentric-
ity measures the cross-sectional coaxial relationship of two cylindrical features.
In this case, he studied the concentricity of an oil seal groove and a base cylin-
der in the interior of the groove. He measures the concentricity as a positive
deviation using a dial indicator gauge. Historically, the standard deviation for
the concentricity is 0.7. To monitor this process, he periodically takes a random
sample of three measurements.
a. A recent sample yielded a sample mean of 5.8. Construct a 95% confidence
interval for the true mean concentricity.
b. Find the sample size required to estimate the true mean concentricity to
within ±0.2 using a 95% confidence interval.
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