3. A quality control inspector must estimate the proportion of defective microcomputer chips coming from two different assembly operations. She knows that, among the chips in the lot to be inspected, 60% are from assembly operation A and 40% are from assembly operation B. In a random sample of 100 chips, 38 turn out to be from operation A and 62 from operation B. Among the sampled chips from operation A, six are defective. Among the sampled chips from operation B, ten are defective. a. Consider only the simple random sampling design of selecting 100 chips, estimate the proportion of defectives in the lot and place a bound on the error of estimation. b. Stratifying the sample after selection, into chips from operation A and B, estimate the proportion of defectives in the population and place a bound on the error of estimation. Which answers do you find more acceptable?
3. A quality control inspector must estimate the proportion of defective microcomputer chips coming from two different assembly operations. She knows that, among the chips in the lot to be inspected, 60% are from assembly operation A and 40% are from assembly operation B. In a random sample of 100 chips, 38 turn out to be from operation A and 62 from operation B. Among the sampled chips from operation A, six are defective. Among the sampled chips from operation B, ten are defective. a. Consider only the simple random sampling design of selecting 100 chips, estimate the proportion of defectives in the lot and place a bound on the error of estimation. b. Stratifying the sample after selection, into chips from operation A and B, estimate the proportion of defectives in the population and place a bound on the error of estimation. Which answers do you find more acceptable?
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:3. A quality control inspector must estimate the proportion of defective
microcomputer chips coming from two different assembly operations. She knows
that, among the chips in the lot to be inspected, 60% are from assembly
operation A and 40% are from assembly operation B. In a random sample of 100
chips, 38 turn out to be from operation A and 62 from operation B. Among the
sampled chips from operation A, six are defective. Among the sampled chips
from operation B, ten are defective.
a. Consider only the simple random sampling design of selecting 100 chips,
estimate the proportion of defectives in the lot and place a bound on the
error of estimation.
b. Stratifying the sample after selection, into chips from operation A and B,
estimate the proportion of defectives in the population and place a bound
on the error of estimation. Which answers do you find more acceptable?
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