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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