Statistics- Find Critical Value(s); Bell-Shaped Curve

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SUMMARY

The discussion focuses on finding critical values for various alpha levels in statistical tests using the Bell-Shaped Curve. Specifically, it addresses three scenarios: α = 0.05 for a two-tailed test, α = 0.01 for a left-tailed test, and α = 0.005 for a right-tailed test. The user, Odd, seeks clarification on the correct interpretation of alpha, which is defined as the "alpha-level" or "probability of error level," not standard deviation. The conversation emphasizes the importance of understanding the context of alpha in hypothesis testing.

PREREQUISITES
  • Understanding of statistical hypothesis testing
  • Familiarity with the Bell-Shaped Curve
  • Knowledge of alpha levels in statistics
  • Basic concepts of one-tailed and two-tailed tests
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  • Research how to calculate critical values for different alpha levels
  • Learn about the implications of one-tailed vs. two-tailed tests
  • Study the concept of p-values in hypothesis testing
  • Explore graphical representations of the Bell-Shaped Curve in statistics
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Students studying statistics, educators teaching statistical concepts, and anyone involved in hypothesis testing and data analysis.

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Homework Statement


Find the critical value (or values) for the following and illustrate each using the Bell-Shaped Curve:

Numerous example such as-

1) \alpha = 0.05, two-tailed test
2) \alpha = 0.01, left-tailed test
3) \alpha = 0.005, right-tailed test

Homework Equations



This is what I'm looking for. I believe the solution will be rather simple once I have some context but I was absent and am not sure where to look for how to solve these questions. Unfortunately my book doesn't have a glossary and I've re-read the chapters we were supposed to be going through to no avail. Google is yielding many results but none of which are using a variable \alpha and because there are many different types of tests I can't figure out which one I'm supposed to use.

Thank you for your time,
Odd

EDIT:
I believe, in this case, a (alpha) stands for standard deviation. However, I'm still not sure what the standard setup of this problem would be since I'm -only- given a. Nothing more.
 
Last edited:
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α (alpha) is not the standard deviation. It is the "alpha-level", or "probability of error level", or "p-value". Does this help?
 

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