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{"ops":[{"insert":"The main purpose of statistics is to test theories or results"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"from experiments. For example,"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"\uf071 You might have invented a new fertilizer that you think makes"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"plants grow 50% faster."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"In order to prove your theory is true, your experiment must:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"a. Be repeatable"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"b. Be compared to a known fact about plants (In this example,"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"probably the average growth rate of plants without the fertilizer)."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"The rejection region (also called a critical region) is a part of the"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"testing process. Specifically, it is an area of probability that tells you if"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"your theory (hypothesis) is probably true."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"=> Illustrate the rejection region(s), using your invented fertilizer"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"data aforementioned for the following questions:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"1. Is the average growth rate greater than 10cm a day?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"2. Is the average growth rate less than 10cm a day?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"3.Is there a difference in the average growth rate in both directions"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(greater than and less than)?"},{"insert":"\n"}]}

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