Hypothesis test-one-way analysis of variance


Four machines produce cylindrical steel pins. The pins are subject to diameter specification.  A pin might meet the specification, or it might be too thin or too thick. Pins are randomly sampled from each machine, and the number of pins in each and every category is counted. The following table presents the results. Is the proportion of pins that are too thin, OK, or too thick is same for all machines?

  Too Thin OK Too Thick
Machine 1 10 102 8
Machine 2 34 161 5
Machine 3 12 79 9
Machine 4 10 60 10

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Basic Statistics: Hypothesis test-one-way analysis of variance
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