Answer to Question #346059 in Statistics and Probability for Samantha

Question #346059

The main purpose of statistics is to test theories or results


from experiments. For example,


 You might have invented a new fertilizer that you think makes


plants grow 50% faster.


In order to prove your theory is true, your experiment must:


a. Be repeatable


b. Be compared to a known fact about plants (In this example,


probably the average growth rate of plants without the fertilizer).


The rejection region (also called a critical region) is a part of the


testing process. Specifically, it is an area of probability that tells you if


your theory (hypothesis) is probably true.


=> Illustrate the rejection region(s), using your invented fertilizer


data aforementioned for the following questions:


1. Is the average growth rate greater than 10cm a day?


2. Is the average growth rate less than 10cm a day?


3.Is there a difference in the average growth rate in both directions


(greater than and less than)?

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