The uni sity data uters computer I and computer 2 A new routine has recently been written for computer 1 to handle its tasks

Question

The uni sity data uters computer I 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 11 processing times from computer 1 showed a mean of 37 seconds with a standard deviation of 17 seconds while a random sample of 9 processing times from computer 2 chosen independently of those for computer 1 showed a mean of 56 seconds with a standard deviation of 20 seconds Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal A Can we conclude at the 0 05 level of significance that the mean processing time of computer 1 is less than 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 H H 0 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 p value 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 E pl x X 5 0 0 O X S 2 P 0 0 OSO 20 O O Q 00 O O Aa V

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