```Question 334128
Let {{{mu[Y]}}}=population mean response for the youngsville station
Let {{{mu[N]}}}=population mean response for the Northeast station
Let {{{mu[C]}}}=population mean response for the Corry station
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Ho:  {{{mu[Y]}}}={{{mu[N]}}}={{{mu[C]}}}
Ha: Not all the means are equal (ie some difference exist)
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Carry out a one way ANOVA test and reject the null hypothesis if F test > Fcritical or reject if pvalue<{{{alpha}}}
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ANOVA requires Normality and homogeneity of variances, both things should be tested before conducting the ANOVA, I'll assume this is all ok to proceed
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From ANOVA table,  Ftest=5.77, Fcritical=3.81  (at {{{alpha=0.05}}})
also pvalue=0.016
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therefore, since Ftest=5.77>Fcritical=3.81 and since pvalue=0.016<{{{alpha=0.05}}}, reject Ho
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conclusion:  Not all the means are equal
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The next question, should be: if they are not all equal, where are the differences?
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NOTE:
At this point you would have to carry out pairwise comparisons (there are 3C2=3 comparisons to conduct in this problem to find where the diffences lie, BUT... you need to make sure not to inflate the "overall" type I ({{{alpha}}}) error.
This can be done in many ways, boneforri correction to the {{{alpha}}} value is one method but other methods exist.

```