SOLUTION: To estimate the average time it takes to assemble a certain computer component the industrial engineer at an electronics firm timed 49 technicians in the performance of this ta

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Question 1011190: To estimate the average time it takes to assemble a certain
computer component the industrial engineer at an
electronics firm timed 49 technicians in the performance
of this task, getting a mean of 12.00 minutes and a
standard deviation of 1.90 minute.
(i) What can we say with 95% confidence about the
maximum error if X = 12.00 is used as a point
estimate of the actual average time required to do
the job?
(ii) Use the given data to construct a 99% confidence
interval for the true average time it takes to
assemble the computer components

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
the 95% confidence for tdf+48 is 2.01, the std error is s/sqrt(n)=1.9/7
the half limit is 2.01*s/sqrt(n)=2.01*1.9/7=0.5456
The 95% CI has an upper limit of 50.5456 or 50.55 min.
The 99% CI has a t of 2.68.
2.68*1.9/7=0.7274
(49.2726,50.7274) min.

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