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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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
January
February
9.867
14.035
10.700 20.723
3.723
4.410
8.416 11.100
4.470
8.010
4.778 34.080
8.990
3.350
4.500
March
Аpril
May
June
13.853
7.067
11.670
7.357
9.168
9.145
July
August
September
October
November
December
8.463
4.086
3.358
4.210
4.233
6.830
3.630
2.320
5.800
2.953
2.640
3.843
3.610
3.480
3.020
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: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 January February 9.867 14.035 10.700 20.723 3.723 4.410 8.416 11.100 4.470 8.010 4.778 34.080 8.990 3.350 4.500 March Аpril May June 13.853 7.067 11.670 7.357 9.168 9.145 July August September October November December 8.463 4.086 3.358 4.210 4.233 6.830 3.630 2.320 5.800 2.953 2.640 3.843 3.610 3.480 3.020 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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