A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
Shift | Machine | ||
A | 46 | 11 | 13 |
B | 37 | 10 | 11 |
3 | 20 | 15 | 16 |
What is the Expected Count for Shift = 2 and Machine = A?
A. 33.374
B. 11.665
C. 12.961
D. 40.279
A | B | C | Total | |
1 | 46 | 11 | 13 | 70 |
2 | 37 | 10 | 11 | 58 |
3 | 20 | 15 | 16 | 51 |
Total | 103 | 36 | 40 | 179 |
Expected frequencies = (Row total* Column Total) /Grand Total.
Therefore,
=33.374
The Expected Count for Shift = 2 and Machine = A is 33.374 A. 33.374 |
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