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.

28 May 2025
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 _____ ___ ______ _______ ______ ___.
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