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{"ops":[{"insert":"The main purpose of statistics is to test theories or results \r\nfrom experiments. For example,\r\n\uf071 You might have invented a new fertilizer that you think makes \r\nplants grow 50% faster. \r\nIn order to prove your theory is true, your experiment must:\r\na. Be repeatable\r\nb. Be compared to a known fact about plants (In this example, \r\nprobably the average growth rate of plants without the fertilizer).\r\nThe rejection region (also called a critical region) is a part of the \r\ntesting process. Specifically, it is an area of probability that tells you if \r\nyour theory (hypothesis) is probably true.\r\n=> Illustrate the rejection region(s), using your invented fertilizer \r\ndata aforementioned for the following questions:\r\n1. Is the average growth rate greater than 10cm a day?\r\n2. Is the average growth rate less than 10cm a day?\r\n3.Is there a difference in the average growth rate in both directions \r\n(greater than and less than)?\n"}]}
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