3) Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance, At the 0.025 significance level. test the claim that the three brands have the same mean if the following sample results have been obtained. Brand A Brand B Brand C 32 27 22 34 24 25 37 33 32 33 30 22 36 21 39 4) Use the Minitab display to test the indicated claim, A manager records the production output of three employees who each work on three different machines for three different days. The sample results are given below and the Minitab results follow. Employee B C 1 31. 34, 32 29. 23, 22 21, 20, 24 Machine 1 19, 26, 22 35, 33, 30 25. 19, 23 III 21. 18, 26 20. 23, 24 36, 37, 31 ANALYSIS OF VARIANCE ITEMS SOURCE DF SS MS MACHINE 1.19 59 EMPLOYEE 5.85 2.93 INTERACTION 710.81 177.70 ERROR 18 160.00 8.89 TOTAL 26 877.85 Assume that the number of items produced is not affected by an interaction between employee and machine. Using a 0.05 significance level, test the claim that the choice of employee has no effect on the number of items produced