Question: the university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to

the 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 15 processing times from computer 1 showed a mean of 65 seconds with a standard deviation of 20 seconds, while a random sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 58 seconds with a standard deviation of 19 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 99% confidence interval for the difference 12 between the mean processing time of computer 1, 1, and the mean processing time of computer 2, 2. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.

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