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Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test

Author(s): Paul Miller

Everett Community College

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Summary:
Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish population for methylmercury levels (using real and…

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Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish population for methylmercury levels (using real and hypothetical data) against real-world mercury standards.

Licensed under CC Attribution-ShareAlike 4.0 International according to these terms

Version 2.0 - published on 09 Feb 2023 doi:10.25334/BXRZ-5189 - cite this

Adapted from: Grassy Narrows and Muskrat Falls Dam: Hypothesis Testing and t-Tests v 1.0

Keywords

  1. statistics
  2. mathematics
  3. biostatistics
  4. ecology
  5. biology
  6. graphing
  7. p-values
  8. t-tests
  9. hypothesis testing
  10. in-class activity
  11. Zoology
  12. mercury biogeochemistry
  13. biostatistics - general
  14. fish population
  15. qbcc
  16. Biogeochemical cycles
  17. Interpret graphs
  18. Solving Equations and Inequalities
  19. Concepts in Statistics
  20. Elementary Hypothesis Testing
  21. Methylmercury
  22. dams
  23. Bioaccumulation
  24. traditional diets
  25. mercury
  26. mercury poisoning
  27. native people
  28. indigenous population
  29. Canada
  30. hydroelectric
  31. explaining statistics
  32. using statistics
  33. Make probability calculations

Alignments

  1. Resource Type
  2. Audience Level
  3. Activity Length
  4. Inclusive Pedagogy for Life Science Education
  5. Open Science and Education Practices Ontology
Contents:
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Description

The module is divided into parts and can be done in-class, online, or as homework.  There are areas where additional resources are provided for students/courses that need instructional material not provided in the case study.  In addition, there are opportunities to expand particular sections for classes that would like to emphasize certain content areas.  Overall, students are introduced to concepts of hypothesis testing using elementary hypothesis tests, t-tests, p-value (and more) as they compare a given fish population for methylmercury levels (using real and hypothetical data) against real-world mercury standards in fish (in Canada).  Additionally, students will be encouraged to research for themselves as well as have an open philosophical discussion at the close of the module.

In this version, two smaller assignments have been added that simulate the process of creating a sampling distribution of the sample mean and compare the empirical distribution to the sampling distribution as described by the Central Limit Theorem. In the second assignment, students are asked to perform the same one sample t-test that was presented in the original version.

This material is based upon work supported by the National Science Foundation under Grant No. 1919613. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

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