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 11 processing times from computer 1 showed a mean of 73 seconds with a standard deviation of 17 seconds, while a random sample of 10

processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 65seconds 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. Can we conclude, at the 0.01 level of significance, that the mean processing time of computer 1, 1, is greater than the mean processing time of computer 2, 2?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table

The null hypothesis:H0

The alternative hypothesis:H1

The type of test statistic:

The value of the test statistic: (Round to at least three decimal places.)

The p-value: (Round to at least three decimal places.)

Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 2? Yes/No