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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 в C January February March April Мay June 9.867 3.723 4.410 8.416 11.100 4.470 14.035 10.700 20.723 13.853 9.168 8.010 7.067 4.778 34.080 11.670 9.145 8.990 July August September 4.210 October 7.357 8.463 3.350 3.358 4.086 4.500 4.233 6.830 3.630 2.320 3.843 5.800 November 2.953 3.480 3.020 December 2.640 3.610 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 в C January February March April Мay June 9.867 3.723 4.410 8.416 11.100 4.470 14.035 10.700 20.723 13.853 9.168 8.010 7.067 4.778 34.080 11.670 9.145 8.990 July August September 4.210 October 7.357 8.463 3.350 3.358 4.086 4.500 4.233 6.830 3.630 2.320 3.843 5.800 November 2.953 3.480 3.020 December 2.640 3.610 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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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 в C January February March April Мay June 9.867 3.723 4.410 8.416 11.100 4.470 14.035 10.700 20.723 13.853 9.168 8.010 7.067 4.778 34.080 11.670 9.145 8.990 July August September 4.210 October 7.357 8.463 3.350 3.358 4.086 4.500 4.233 6.830 3.630 2.320 3.843 5.800 November 2.953 3.480 3.020 December 2.640 3.610 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: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 в C January February March April Мay June 9.867 3.723 4.410 8.416 11.100 4.470 14.035 10.700 20.723 13.853 9.168 8.010 7.067 4.778 34.080 11.670 9.145 8.990 July August September 4.210 October 7.357 8.463 3.350 3.358 4.086 4.500 4.233 6.830 3.630 2.320 3.843 5.800 November 2.953 3.480 3.020 December 2.640 3.610 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.
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