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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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

69

seconds with a standard deviation of

19

seconds, while a random sample of

15

processing times from computer

2

(chosen independently of those for computer

1

) showed a mean of

59

seconds with a standard deviation of

17

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. 

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