A lake is to be surveryed for fish to determine if therea re

A lake is to be surveryed for fish to determine if therea re depths and locations both up the river from the dam or east or west as there is a city on the east side. A surveyor though that 5 (a-e) with 5 locations(a-e for position \'Down River\' and a-e for position \'Across\') would work for the survey. The actual nutrients (Nutrients and N2) seen at the 5 depths and 5 locations up riven and across river are given. Are any of the three effects for N2 significant? Also use a nonparametric test.

THIS IS A TWO WAY ANOVA QUESTION. Do not use simple T test.

Please Use a statistics software to solve. Give as much answer as possible.

Sequence Down River Across Depth Nuitrient N2
1 a a a 7.664073 11.52786
2 b a b 11.64538 14.29742
3 c a c 15.30915 16.75527
4 d a d 14.83126 14.13462
5 e a e 14.52574 13.22167
6 a b b 9.197144 10.44827
7 b b c 12.48568 13.02459
8 c b d 13.33452 11.40567
9 d b e 12.59763 11.11449
10 e b a 17.0601 13.21346
11 a c c 10.94675 9.226394
12 b c d 7.941342 8.254618
13 c c e 10.27264 7.693748
14 d c a 12.23851 10.39409
15 e c b 8.293891 9.332331
16 a d d 9.531435 11.05981
17 b d e 10.72513 9.257204
18 c d a 10.38047 11.78056
19 d d b 14.21711 14.41799
20 e d c 14.8919 17.48516
21 a e e 11.45483 11.27669
22 b e a 13.8283 11.12676
23 c e b 14.94719 14.31956
24 d e c 17.44457 18.64767
25 e e d 13.41152 14.15303

Solution

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A lake is to be surveryed for fish to determine if therea re depths and locations both up the river from the dam or east or west as there is a city on the east

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