10.74 For Exercise 10.41 on page 358, test the hy- pothesis at the 0.05 level of significance that = 0 against the alternative that of 03, where and are the variances of the number of organisms per square meter of water at the two different locations on Cedar Run. 10.41 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 sec- ondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond en- ter the stream near its headwaters. The following data give the density measurements, in number of organisms per square meter, at the two collecting stations: Number of Organisms per Square Meter Station 1 Station 2 5030 4980 2800 2810 13,700 11,910 4670 1330 10,730 8130 6890 3320 11,400 26,850 7720 1230 860 17,660 7030 2130 2200 22,800 7330 2190 4250 1130 15,040 1690 Can we conclude, at the 0.05 level of significance, that the average densities at the two stations are equal? Assume that the observations come from normal pop- ulations with different variances.