Three zones A B and C are distinguished in a lake Ten values

Three zones (A, B, and C) are distinguished in a lake. Ten values of nitrate concentration are taken
at random in each zone. Is nitrate concentration different among zones? What analysis do you run
to answer this question? Suppose you get statistic = 5.8, p-value = 0.007. What is the statistic? What
is H0? What is your conclusion?

Solution

What analysis do you run to answer this question?

We run a one-way ANOVA test.

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Suppose you get statistic = 5.8, p-value = 0.007. What is the statistic?

It is an F statistic.

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What is H0?

Ho: The means nitrate concentration for each of the three zones are all equal.

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What is your conclusion?

Say, we set the significance level at 0.05.

As P<0.05, then we reject the null hypothesis. We conclude that there is significant evidence that at least two of the zones have unequal mean nitrate concentration.