Rapid drainage of floodwater is crucial to prevent damage during heavy rains. Several designs for a drainage canal were considered for a certain city. Each designs was tested five times, to determinehow longit took to drain the water in a reservoir. The following table pesents the drainage times, in minutes. Channel Type                      Drainage Time 1                                       41.4  43.4  50.5  41.2 2                                       38.7   48.3  51.1  38.3 3                                       32.6   33.7  34.8   22.5 4                                       26.3    30.9  33.3   23.8 5                                       44.9    47.2   48.5   37.1 a. Construct an ANOVA table. b. Can you conclude that there is a difference in the mean drainage times for the different channel designs? use the a=0.01 level of significance.

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Rapid drainage of floodwater is crucial to prevent damage during heavy rains. Several designs for a drainage canal were considered for a certain city. Each designs was tested five times, to determinehow longit took to drain the water in a reservoir. The following table pesents the drainage times, in minutes.

Channel Type                      Drainage Time

1                                       41.4  43.4  50.5  41.2

2                                       38.7   48.3  51.1  38.3

3                                       32.6   33.7  34.8   22.5

4                                       26.3    30.9  33.3   23.8

5                                       44.9    47.2   48.5   37.1

a. Construct an ANOVA table.

b. Can you conclude that there is a difference in the mean drainage times for the different channel designs? use the a=0.01 level of significance.

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