# Consider the data below of inches of rainfall per month for three d...

## Question

Consider the data below of inches of rainfall per month for three different regions in the Northwestern United States:

Plains, Mountains, Forest

April 20.1 12.9 9.8
May 15.3 17.8 16.7
June 19.8 15.4 18.4
July 17.4 11.2 13.9
August 16.8 13.7 14.4

Using SPSS, perform an ANOVA test against the hypothesis that there is not the same amount of rainfall in every region in the Northwestern United States with a significance level of 0.10. What are the two degrees of freedom of your test statistic?

## Solution Preview

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Null Hypothesis (Ho): µ1= µ2= µ3 (The population mean inches of rainfall per month for three different regions in the Northwestern United States is same)
Alternative Hypothesis (Ha): µi ≠ µj for some i ≠ j (The population mean inches of rainfall per month for three different regions in the Northwestern United States is not same, at least two of them are different)
Where
µ1= population mean inches of rainfall per month for Plains
µ2= population mean inches of rainfall per month for Mountains
µ3= population mean inches of rainfall per month for Forest
Level of significance = 0.10
The degree of freedom is 2 and 14 for F test....

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