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Perform an analysis of variance and test the hypothesis, at the 0.05 level of significance, that there is no difference in the mean concentrations of chlorophyll a at the 3 stations.

Perform an analysis of variance and test the hypothesis, at the 0.05 level of significance, that there is no difference in the mean concentrations of chlorophyll a at the 3 stations.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Perform an analysis of variance and test the hypothesis, at the 0.05 level of significance, that there is no difference in the mean concentrations of chlorophyll a at the 3 stations.
Transcribed Image Text:Perform an analysis of variance and test the hypothesis, at the 0.05 level of significance, that there is no difference in the mean concentrations of chlorophyll a at the 3 stations.
4. A nuclear power facility produces a vast amount of heat, which is usually discharged into aquatic systems. This heat raises the temperature of the aquatic system, resulting in a greater concentration of chlorophyll a, which in turn extends the growing season. To study this effect, water samples were collected monthly at 3 stations for a period of 12 months. Station A is located closest to a potential heated water discharge, station C is located farthest away from the discharge, and station B is located halfway between stations A and C. The following concentrations of chlorophyll a were recorded. Station Month A B C January February March 9.867 3.723 4.410 14.035 8.416 11.100 10.700 20.723 13.853 4.470 8.010 4.778 34.080 Аpril May June July August September October November December 9.168 7.067 11.670 9.145 8.990 7.357 8.463 4.086 3.350 3.358 4.500 4.210 4.233 2.320 6.830 3.630 5.800 2.953 2.640 3.843 3.480 3.020 3.610
Transcribed Image Text:4. A nuclear power facility produces a vast amount of heat, which is usually discharged into aquatic systems. This heat raises the temperature of the aquatic system, resulting in a greater concentration of chlorophyll a, which in turn extends the growing season. To study this effect, water samples were collected monthly at 3 stations for a period of 12 months. Station A is located closest to a potential heated water discharge, station C is located farthest away from the discharge, and station B is located halfway between stations A and C. The following concentrations of chlorophyll a were recorded. Station Month A B C January February March 9.867 3.723 4.410 14.035 8.416 11.100 10.700 20.723 13.853 4.470 8.010 4.778 34.080 Аpril May June July August September October November December 9.168 7.067 11.670 9.145 8.990 7.357 8.463 4.086 3.350 3.358 4.500 4.210 4.233 2.320 6.830 3.630 5.800 2.953 2.640 3.843 3.480 3.020 3.610
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