A small regional dairy uses four machines to fill gallon jugs with milk. The qua

Question

A small regional dairy uses four machines to fill gallon jugs with milk. The quality control manager collected the following data on the observed amount of milk volume in quarts for randomly selected jugs… Machine 1: 4.05, 4.01, 4.02, 4.04 Machine 2: 3.99, 4.02, 4.01, 3.99 Machine 3: 3.97, 3.98, 3.97, 3.95 Machine 4: 4.00, 4.02, 3.99, 4.01 For each of the questions below, please respond with the p-value found when the test is run.Is there evidence that the median milk volume differs depending upon the machine doing the filling?

Explanation / Answer

We performed 1-way ANOVA to compare the 4 samples:

H0: no difference between any of them

Ha: difference exists

This is using MS Excel

since p-value>0.05; so we cant reject H0 at 5% level. So no difference between machines.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance machine-1 4 16.01 4.0025 0.001158 machine-2 4 16.03 4.0075 0.000358 machine-3 4 15.99 3.9975 0.000492 machine-4 4 15.99 3.9975 0.001425 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 0.000275 3 9.17E-05 0.106796 0.954506 3.490295 Within Groups 0.0103 12 0.000858 Total 0.010575 15

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