The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written fo

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The University Data Center Has Two Main Computers Computer 1 And Computer 2 A New Routine Has Recently Been Written Fo 1 (124.21 KiB) Viewed 15 times

The university data center has two main computers: computer 1 and computer 2. A new routine has recently been written for computer 1 to handle its tasks, while computer 2 is still using the preexisting routine. The center wants to determine if the processing time for computer 1's tasks is now less than that of computer 2. A random sample of 12 processing times from computer 1 showed a mean of 52 seconds with a standard deviation of 15 seconds, while a random sample of 13 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 68 seconds with a standard deviation of 20 seconds. 00 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 μ₁, the mean processing time of computer 1, is less than μ₂, the mean processing time of computer 2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. O Р HO S P H₁ (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 critical value at the 0.05 level of significance. (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 ONO 3 X 19 0=0 Oso 0*0 O<O X 3 00 010 20 >O ?