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A quality engineer wanted to be 98% confident that the
Chapter 7, Problem 5E(choose chapter or problem)
A quality engineer wanted to be \(98 \%\) confident that the maximum error of the estimate of the mean strength, \(\mu\), of the left hinge on a vanity cover molded by a machine is \(0.25\). A preliminary sample of size \(n=32\) parts yielded a sample mean of \(\bar{x}=35.68\) and a standard deviation of \(s=1.720\).
(a) How large a sample is required?
(b) Does this seem to be a reasonable sample size? (Note that destructive testing is needed to obtain the data.)
Equation Transcription:
Text Transcription:
98%
Mu
0.25
n=32
Bar x=35.68
s=1.723
Questions & Answers
QUESTION:
A quality engineer wanted to be \(98 \%\) confident that the maximum error of the estimate of the mean strength, \(\mu\), of the left hinge on a vanity cover molded by a machine is \(0.25\). A preliminary sample of size \(n=32\) parts yielded a sample mean of \(\bar{x}=35.68\) and a standard deviation of \(s=1.720\).
(a) How large a sample is required?
(b) Does this seem to be a reasonable sample size? (Note that destructive testing is needed to obtain the data.)
Equation Transcription:
Text Transcription:
98%
Mu
0.25
n=32
Bar x=35.68
s=1.723
ANSWER:
Step 1 of 5
Given: