# One-Way ANOVA, One Factor Experiment

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ANOVA

One-Way Classification

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One-Factor Experiment for equal number of Observations

A company wishes to test 4 different types of tires, A, B, C, D. The lifetimes of the tires, as determined from their treads, are given ( in thousands of miles ) in table below, where each type has been tried on 6 similar automobiles assigned at random to tires. Test at the

(a) 0.05 level (b) 0.01 level whether there is a difference in tires.

I II III IV V VI

A 33 38 36 40 31 35

B 32 40 42 38 30 34

C 31 37 35 33 34 30

D 29 34 32 30 33 31

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##### Solution Summary

Solution to the posted problem is given in the attached file in a very simple language and is explained with every minute detail so that the student could easily follow the procedure and use this solution as a model solution to solve other similar problems on his/her own.

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SSA = 77.5032

SSW = 216.333

SST = SSA + SSW = 77.503 +216.333 = 293.836

Using the critical value table of F-distribution, we see that the critical value of F for 3, 20 degrees of freedom at 0.05 ...

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