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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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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