The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 8 processing times from computer 1 showed a mean of 79 seconds with a standard deviation of 18 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 seconds with a standard devia

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The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 8 processing times from computer 1 showed a mean of 79 seconds with a standard deviation of 18 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.05 level of significance, that the mean processing time of computer 1, μ1, differs from the mean processing time of computer 2, μ2?

Perform a two-tailed test. Then complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho
H :0
(b) Determine the type of test statistic to use.
|(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
| and I
(e) Can we conclude that the mean processing time of computer 1 differs from the mean processing
time of computer 2?
OYes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H,. Ho H :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) | and I (e) Can we conclude that the mean processing time of computer 1 differs from the mean processing time of computer 2? OYes ONo
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