Question
A paper making company experiments with quantity of paper 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 paper 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.
Answer :
Word Count : 341
To test whether all four machines (A, B, C, D) are equally productive, we use one-way Analysis of Variance (ANOVA). The null hypothesis (H₀) is that the means of productivity for all machines are equal. The alternative hypothesis (H₁) is that at least one machine's mean productivity differs from the others. We assume normality of the data and equal variances across groups. The data is structured as follows: | Day | A | B | C | D | | --- | -- | -- ___ _____ ____ _____ _________ _________.
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To test whether all four machines (A, B, C, D) are equally productive, we use one-way Analysis of Variance (ANOVA). The null hypothesis (H₀) is that the means of productivity for all machines are equal. The alternative hypothesis (H₁) is that at least one machine's mean productivity differs from the others. We assume normality of the data and equal variances across groups. The data is structured as follows: | Day | A | B | C | D | | --- | -- | -- ___ _____ ____ _____ _________ _________.
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