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The thickness in millimeter (mm) of a part used in a semiconductor is a critical dimension. It has been observed that the thickness is normally distributed with standard deviation approximately given by o = 0.006 mm. To keep a check on the manufacturing process, random samples of size n = 30 are taken periodically and the thickness is measured for each. Find the probability that the sample mean Y of the thickness will be within 0.002 mm of the true mean μ. Note: Please round your answer to 4 decimal places.

The thickness in millimeter (mm) of a part used in a semiconductor is a critical dimension. It has been observed that the thickness is normally distributed with standard deviation approximately given by o = 0.006 mm. To keep a check on the manufacturing process, random samples of size n = 30 are taken periodically and the thickness is measured for each. Find the probability that the sample mean Y of the thickness will be within 0.002 mm of the true mean μ. Note: Please round your answer to 4 decimal places.

MATLAB: An Introduction with Applications
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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The thickness in millimeter (mm) of a part used in a semiconductor is a critical dimension. It has been observed that the thickness is normally distributed with standard deviation approximately given by o = 0.006 mm. To keep a check on the manufacturing process, random samples of size n = 30 are taken periodically and the thickness is measured for each. Find the probability that the sample mean Y of the thickness will be within 0.002 mm of the true mean μ. Note: Please round your answer to 4 decimal places.
Transcribed Image Text:The thickness in millimeter (mm) of a part used in a semiconductor is a critical dimension. It has been observed that the thickness is normally distributed with standard deviation approximately given by o = 0.006 mm. To keep a check on the manufacturing process, random samples of size n = 30 are taken periodically and the thickness is measured for each. Find the probability that the sample mean Y of the thickness will be within 0.002 mm of the true mean μ. Note: Please round your answer to 4 decimal places.
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