Find a 95% confidence interval for the mean of the depths of all connector modules made by a certain manufacturing company. b.) How large a sample is needed if we wish to be 95% confident that our sample mean will be within 0.0005 inch of the true mean?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Many cardiac patients wear an implanted pacemaker to control their
heartbeat. A plastic connector module mounts on the top of the
pacemaker. A random sample of 75 modules has an average depth of
0.310 inch. Assuming a standard deviation of 0.0015 inch and an
approximately normal distribution.

a.) Find a 95% confidence interval for the mean of the depths of all
connector modules made by a certain manufacturing company.
b.) How large a sample is needed if we wish to be 95% confident that our
sample mean will be within 0.0005 inch of the true mean?

Ans:

A.0.3097 in < u < 0.3103 in
B. 35

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