A civil engineer is interested in several designs for a drainage canal used to divert floodwaters from around a city. The drainage times of a reservoir attached to each of five different channel designs obtained from a series of experiments using similar initial flow conditions are given in the following table.

a. Can you conclude that there is a difference in the mean drainage times for the different channel designs?
b. Which pairs of designs, if any, can you conclude to differ in their mean drainage times?

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Channel Type Drainage time (min) 41.4 43.4 50.0 41.2 37.7 49.3 52. 37.3 32.6 33.7 34.8 22.5 27.3 29.9 32.3 24.8 44.9 47.2 48.5 37.1