A quality engineer wanted to be 98% confident that the

Chapter 7, Problem 5E

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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

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:

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