document.write( "Question 1011190: To estimate the average time it takes to assemble a certain
\n" ); document.write( "computer component the industrial engineer at an
\n" ); document.write( "electronics firm timed 49 technicians in the performance
\n" ); document.write( "of this task, getting a mean of 12.00 minutes and a
\n" ); document.write( "standard deviation of 1.90 minute.
\n" ); document.write( "(i) What can we say with 95% confidence about the
\n" ); document.write( "maximum error if X = 12.00 is used as a point
\n" ); document.write( "estimate of the actual average time required to do
\n" ); document.write( "the job?
\n" ); document.write( "(ii) Use the given data to construct a 99% confidence
\n" ); document.write( "interval for the true average time it takes to
\n" ); document.write( "assemble the computer components \n" ); document.write( "
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the 95% confidence for tdf+48 is 2.01, the std error is s/sqrt(n)=1.9/7
\n" ); document.write( "the half limit is 2.01*s/sqrt(n)=2.01*1.9/7=0.5456
\n" ); document.write( "The 95% CI has an upper limit of 50.5456 or 50.55 min.
\n" ); document.write( "The 99% CI has a t of 2.68.
\n" ); document.write( "2.68*1.9/7=0.7274
\n" ); document.write( "(49.2726,50.7274) min.\r
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