4·Concentrations of nitrate were compared and contrasted among four major land c

Question

4·Concentrations of nitrate were compared and contrasted among four major land covers: urban, forested, cropland, and pasture. Ten soil samples were obtained at each type of land cover. An ANOVA was performed to test if the mean nitrate concentrations differed among the four types of land cover. The data produced the following ANOVA table: Sourc df F P-Value MS Group Error Total 21.85 62.77 0.0113 4.1) Fill in the values for the degrees of freedom (DF), total sum of squares, the Mean Squares, and the F-test statistic (F Value) in the above table Would we have rejected the null hypothesis using = 0:05? (Circle One) YES or NO 43) Would we have rejected the null hypothesis using - 0:01? (Circle One) YES or NO 44) Based on the p-value, state the conclusion of the ANOVA F-test in the context of this problem

Explanation / Answer

Sol:

F=MS group/MS error=7.283333/1.743611=4.177

Solution2.2

p=0.0113

alpha=0.05

p<0.05

Reject Null hyothesis.

SOlution4.3

P=0.0113

alpha=0.01

p>alpha

Accept Null hypothesis.

Solution4.4

At 5% level of significance we can statistically conclude that there is sufficinet evidence toconclude that mean nitrate concentrations differed among the four types of land cover.

At 1% level of significance we can statistically conclude there is  there no is sufficient evidence to conclude that mean nitrate concentrations differed among the four types of land cover.

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