he university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2 . A random sample of 11 processing times from computer 1 showed a mean of 62 seconds with a standard deviation of 16 seconds, while a random sample of 16 processing times from computer 2 (chosen independently of those for computer 1 ) showed a mean of 59 seconds with a standard deviation of 18 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1 , μ1 , and the mean processing time of computer 2 , μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.
The university data center has two main computers. The center wants to examine whether computer
is receiving tasks that require processing times comparable to those of computer
. A random sample of
processing times from computer
showed a mean of
seconds with a standard deviation of
seconds, while a random sample of
processing times from computer
(chosen independently of those for computer
) showed a mean of
seconds with a standard deviation of
seconds. Assume that the populations of processing times are
confidence interval for the difference
between the mean processing time of computer
,
, and the mean processing time of computer
,
. Then find the lower limit and upper limit of the
confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
