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Question
a town hosts an arbor day celebration. each of the 105 families attending gets to choose a sapling to take home as they leave. michelle and ari each design surveys in order to determine the average height of the saplings. michelle samples the first 20 families leaving the celebration. ari samples every fifth family leaving the celebration. which best explains which students sample is likely to produce more valid results? michelles because she sampled the saplings of every family in her group michelles because she sampled the saplings of the first 20 families to choose their saplings aris because she sampled saplings chosen at different times aris because she sampled one more sapling than michelle sampled
A valid sample should be representative of the entire population. Ari's method of sampling every fifth family means samples are chosen at different times throughout the departure of families, which is more likely to be representative of all 105 families. Michelle's sample of only the first 20 families may have some bias, for example, these first - leaving families might have some common characteristics that are not shared by the later - leaving families.
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Ari's because she sampled saplings chosen at different times