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 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a standard deviation of 16 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 90% confidence interval for the difference u, -u, between the mean processing time of computer 1, µ1, and the mean processing time of computer 2, u,. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
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 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a standard deviation of 16 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 90% confidence interval for the difference u, -u, between the mean processing time of computer 1, µ1, and the mean processing time of computer 2, u,. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![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 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20
seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a
standard deviation of 16 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 90% confidence interval for the difference u, -4, between the mean processing time of computer 1, µ,, and the mean
processing time of computer 2, µ„. Then find the lower limit and upper limit of the 90% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit:
Upper limit:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b556015-6aa8-4dc1-96b2-1294baf1f007%2Fcf48f8cd-8335-4576-88f8-e014e78d394d%2Ffgoqv0sl_processed.png&w=3840&q=75)
Transcribed Image Text: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 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20
seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a
standard deviation of 16 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 90% confidence interval for the difference u, -4, between the mean processing time of computer 1, µ,, and the mean
processing time of computer 2, µ„. Then find the lower limit and upper limit of the 90% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit:
Upper limit:
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