(a) The article “Study on the Life Distribution of Microdrills" (Z. Yang, Y. Chen, and Y. Yang, Journal of Engineering Manufacture, 2002:301–305) reports that in a sample of 50 micro drills drilling a low-carbon alloy steel, the average lifetime (expressed as the number of holes drilled before failure) was 12.68 with a standard deviation of 6.83. Construct a 95% confidence interval for the mean lifetime of micro drills under these conditions.
(a) The article “Study on the Life Distribution of Microdrills" (Z. Yang, Y. Chen, and Y. Yang, Journal of Engineering Manufacture, 2002:301–305) reports that in a sample of 50 micro drills drilling a low-carbon alloy steel, the average lifetime (expressed as the number of holes drilled before failure) was 12.68 with a standard deviation of 6.83. Construct a 95% confidence interval for the mean lifetime of micro drills under these conditions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(a) The article “Study on the Life Distribution of Microdrills" (Z. Yang, Y. Chen, and
Y. Yang, Journal of Engineering Manufacture, 2002:301–305) reports that in a
sample of 50 micro drills drilling a low-carbon alloy steel, the average lifetime
(expressed as the number of holes drilled before failure) was 12.68 with a standard
4
deviation of 6.83. Construct a 95% confidence interval for the mean lifetime of
micro drills under these conditions.
(b) Based on a large sample of capacitors of a certain type, a 95% confidence interval
for the mean capacitance, in µF, was computed to be (0.213, 0.241). Construct a
90% confidence interval for the mean capacitance of this type of capacitor.
(c) The article “An Automatic Visual System for Marble Tile Classification" (L.
Carrino, W. Polini, and S. Turchetta, Journal of Engineering Manufacture,
2002:1095–1108) describes a measure for the shade of marble tile in which the
amount of light reflected by the tile is measured on a scale of 0–255. A perfectly
black tile would reflect no light and measure 0, and a perfectly white tile would
measure 255. A sample of nine Mezza Perla tiles were measured, with the
following results:
204.999
206.149
202.102
207.048
203.496
206.343
203.496
206.676
205.831
Construct a 95% confidence interval for the mean shade of Mezza Perla tile.
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