It is conjectured that when fields are overgrazed by cattle there will be a subs

Question

It is conjectured that when fields are overgrazed by cattle there will be a substantial reduction in the available grass during the subsequent grazing season due to the Compacrtion of the soil, A horticulturist at the state agricultural experiment station designs a study to evaluate the conjecture Twenty-one plots of land of nearly the same soil texture and suitable for grazing are selected ture. Twenty-one plots of land of nearly the same soil texture and suitable for grazing are selected for the study. Three grazing regimens selected for evaluation are randomly assigned appear to 7 plots for the study. Three grazing regimens selected for evaluation are randomly assigned to 7 plots each. After the 21 plots are subjected to the grazing regimens for four months, the researcher randomly selects 10 soil cores from each plot and measures the bulk density (g/cm^3) in each soil core. The mean soil density of the 10 cores from each plot is given in the following table.

Explanation / Answer

sol)

H0: All the three goups means are equal

H1: Atleast one group is not same

alpha:5%

Test Statistic:

We Use one way Anova

From Excel

Conclusion:

F cal=2.064

P value=0.155

Hence P>0.05, we accept the null hypothesis

Anova: Single Factor SUMMARY Groups Count Sum Average Variance continous 7 16.61 2.372857 0.90629 three week 7 12.78 1.825714 0.855862 two week 7 10.54 1.505714 0.194162 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 2.691971 2 1.345986 2.064064 0.155938 3.554557 Within Groups 11.73789 18 0.652105 Total 14.42986 20

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