Question

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 modified statcrunch results follow. assume that the number of items produced is not affected by the 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. what is the value of the test statistic?

Answer 1

Let a manager records the assemble 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:

ABC

                                     Total

1           46     11     13       70

2         37       10    11        58

3          20      15    16        51

Total    103     36    40     179

Let that the number of items generate is not affected by an interaction between employee and machine.

Formula = Expected frequencies = (Row total" Column Total) /Grand Total.

Therefore,

                          58*103/179

                         = -33.374

The Expected Count for Shift = 2 and Machine - A is 33.374

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