Maths A Level
Testing a Population Mean

Hypothesis Testing: Normal Distribution

Here’s a summary of everything you need to know about hypothesis testing for normal distributions at A Level.

 

Transcript

Lesson overview

Hypothesis Testing

  1. Introduction to Hypothesis Testing
  2. Statistics vs Parameters
  3. The World is Unknowable
  4. Don’t Treat Parameter Estimates as Final
  5. Population Proportions
  6. When Should We Question Our Parameter Estimates?
  7. Critical Regions
  8. Critical Regions With Two Tails
  9. One or Two Tails?
  10. Critical Values
  11. Acceptance Region
  12. Type 2 Errors
  13. Type 1 Errors
  14. Remembering Which is Which
  15. Significance
  16. Significance Levels
  17. Significance Levels with Two Tails
  18. Actual Significance Levels
  19. Common Significance Levels
  20. Two Ways of Setting a Significance Level
  21. Finding Critical Regions
  22. The Term ‘Hypothesis Testing’
  23. Population Parameters and Test Statistics
  24. What are Hypotheses?
  25. Null and Alternative Hypotheses
  26. Statistical Hypothesis Testing
  27. One-Tailed Tests and Two-Tailed Tests
  28. Representing the Null and Alternative Hypotheses
  29. Performing a One-Tailed Test
  30. A Second Way of Performing a One-Tailed Test
  31. Performing a Two-Tailed Test
  32. The Miraculous Dead Salmon

Testing a Population Mean

  1. Introduction to Testing a Population Mean
  2. Sample Means and Population Means
  3. How Sample Size Affects Sample Means
  4. Probabilities of Sample Means
  5. Modelling the Sample Mean
  6. The Standard Deviation of the Sample Mean’s Distribution
  7. When Should We Question Our Population Mean?
  8. Finding Critical Regions and Critical Values
  9. What Are the Hypotheses?
  10. Performing a One-Tailed Test for a Population Mean
  11. Performing a Two-Tailed Test for a Population Mean
  12. Testing a Population Mean with the Standard Normal Distribution
  13. Coding the Sample Means
  14. Hypothesis Testing With a Coded Sample Mean

Testing a PMCC

  1. Introduction to Testing a PMCC
  2. Correlation Coefficients from Samples and Populations
  3. Probabilities of Sample Correlation Coefficients
  4. Sample Size Matters
  5. Testing for Zero Correlation
  6. The Null and Alternative Hypotheses in PMCC Testing
  7. The Percentage Points Table
  8. Performing a One-Tailed Test for a Population PMCC
  9. Performing a Two-Tailed Test for a Population PMCC
  10. Where Were All the Distributions?
  11. Are Older People All Liars?

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