A cloth making company experiments with quantity of cloth being produced by four of its machine. Assuming that company has four such machines and productivity of these machine is recorded on four different days in the following table.
| Day | Quantity of cloth per Machine | |||
| A | B | C | D | |
| 1 | 91 | 89 | 92 | 90 |
| 2 | 90 | 88 | 89 | 87 |
| 3 | 93 | 88 | 90 | 91 |
| 4 | 88 | 89 | 90 | 88 |
Perform an ANOVA using any software to test (at 5% level) whether all the four machines are equally productive. Make suitable assumptions, if any.
To perform an ANOVA (Analysis of Variance) to test whether all four machines are equally productive, we can use statistical software such as R or Python with the scipy library. Here's how you can perform the ANOVA using Python with the scipy library:
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