Three pottery shards from four widely scattered and now-extinct Native American tribes have been collected by a museum. Archaeologists were asked to estimate the age of the shards. Based on the results shown in the following table, is it conceivable that the four tribes were contemporaries of one another? Let α = 0.01.

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Estimated Ages of Shards (years) Lakeside Deep Gorge Willow Ridge Azalea Hill 1200 800 950 850 900 1100 1800 1450 1150 950 1200 1150