A study was conducted by the Department of Zoology at Virginia Tech to determine

Question

A study was conducted by the Department of Zoology at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The following data give the density measurements, in number of organisms per square meter, at the two collecting stations: test the hypothesis at the 0.05 level of significance that sigma^2_1 = sigma^2_2 against the alternative that sigma^2_1 notequalto sigma^2_2, where sigma^2_1 and sigma^2_2 are the variances of the number of organisms per square meter of water at the two different locations on Cedar Run.

Explanation / Answer

from above test stat F=(s1/s2)2 =10.086

for above at 15 and 11 degree of freedom ; p value =0.0004

as p value is less then 0.05 we reject null hypothesis and conclude that variances are unequal.

station 1 station 2 5030 2800 13700 4670 10730 6890 11400 7720 860 7030 2200 7330 4250 2810 15040 1330 4980 3320 11910 1230 8130 2130 26850 2190 17660 22800 1130 1690 std deviation 7874.329 2479.503

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