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 9 processing times from computer 1 showed a mean of 42 seconds with a standard deviation of 18 seconds, while a random sample of 8 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 68 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. Can we conclude, at the 0.01 level of significance, that the mean processing time of computer 1, 11.1, is less than the mean processing time of computer 2, \".2? Perform a onetailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places and round your answers as specied in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. IJ 0' P H : 0 7 S 3 H1 : El Ell:| Ell: E (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) EI=EI EIEI (d) Find the pvalue. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is less than the mean processing time of computer 2? OYes O No