assignment /88 2018 investigate the effect of oyster density on sea-grass biomas

Question

assignment /88 2018 investigate the effect of oyster density on sea-grass biomass researchers introduced oysters on thirty 1-m2 plots of healthy sea-grass. At the start of the experiment the sea-grass was clipped short. Ten randomly se lected plots received a high density of oysters; 10 an intermediate density; and 10 a low density. For a control an additional 10 randomly clipped 1 m2 plots had no oysters. After two weeks the sea-grass biomass was measured 5. To summary statistics are provided (Note some plots did not survive the period of the Some of the investigation) Sea-grass Biomass (g/m) Oyster density Mean 34.81 33.13 17.36 10 28.33 15.00 10.97 10 Standard deviation 13.44 The following start was made on data analysis before the researcher suffered from eating too many acer ailI 3 E

Explanation / Answer

The variance for high density plt is way to lower than the the low density oyster but it is very difficult to tell with such low sample data considering th edata follows normal distribution. It is a one way anova design The test statistics used is f statistic and is given by F(n-1,n-k)=Msb/Mse where MsB=ssb/n-1=2365.5/(4-1)=788.5 and Mse=sse/(n-k)=729.1/37-4=22.093 therefore F(3,37)=788.5/22.093=35.69 The critical value at f(3,37)=2.859 The test statistics obtained is way greater than 5% critical value of f (3.37) distribution Therefore we reject the null hypothesis . therefore we conclude that the sea grass bimass was not same for all four different sea grass.

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