A wholesaler has recently developed a computerized sales invoicing system. Prior to implementing this system, a manual system was used. The distribution of the number of errors per invoice for the manual system is as follows: Errors per Invoice 0 1 2 3 More Than 3 Percentage of Invoices 8596 895 395 29s 295 After implementation of the computerized system, a random sample of 500 invoices gives the following error distribution: Errors per Invoice 0 1 2 3 More Than 3 Number of Invoices 479 8 6 3 4 pi Ei fi (f E) " 2/E 0 . 85 425 479 6. 8612 0.08 40 8 25.6000 0.03 15 6 5.4000 0.02 10 3 4.9000 0.02 10 4 3.6000 ChiSquare 46-36120 pvalue 0.0000001096 (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is 2 _ (b) Use the Excel output shown above to determine whether the error percentages for the computerized system differ from those for the manual system at the .05 level of signicance. What do you conclude? Ho_c..........m.. ........_ Consider the sample of 60 bottle design ratings given in the table (below). A Sample of Bottle Design Ratings (Composite Scores for a Systematic Sample of 60 Shoppers) 27 27 35 32 25 34 27 27 28 34 28 31 37 30 36 33 37 31 32 36 30 31 34 31 26 29 26 32 37 32 34 35 26 36 35 27 36 32 34 27 25 30 29 33 30 31 25 25 37 30 35 35 25 25 35 35 35 31 28 29 Click here for the Excel Data File Use these data to carry out a chi-square goodness-of-t test to determine whether the population of all waiting times is normally distributed. Use CI = .05. and note that 7c = 30.92 and s = 3.8633 for the 60 bottle design ratings. Use the Empirical Rule to create the intervals. (Round your answer to 3 decimal places.) W H H0. the population of all bottle design ratings normally distributed