Sampling Distributions

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Contents

  1. Title page

  2. You do a study of students' drinking habits...

  3. Your sample mean is 10.54

  4. You think you learned something, .... until ....

  5. They did the same thing, but got different results

  6. Their mean was 12.72. How could this be?

  7. Sampling variablity?

  8. So you look for other studies and find that ....

  9. If you drew all possible samples from this population ...

  10. The Sampling Distribution of Sample Means

  11. The Sampling Distribution has useful properties

  12. Because it is Normal, 68% of all means ....

  13. Its standard deviation can be estimated: the Standard Error of the Mean

  14. You know how to estimate the population's standard deviation

  15. How to estimate the Standard Error of the Mean

  16. You use information about sample statistics to estimate population parameters

  17. This technique is based on four assumptions

  18. Standard errors are measures of sampling variability

  19. Example: Say you want to know how many speeding tickets the typical professor has received

  20. Your sample's mean was 12. How good is this as an estimate of the population's mean?

  21. How to estimate the standard error of the mean

  22. What do you do with the SEM?

  23. How do you do this with your standard error of the mean?

  24. A picture showing how 95% of sample means are within +/- 1.96 SEM of the population mean

  25. A picture showing how you can be 95% certain that .....

  26. You can be 95% certain that your sample...

  27. So, when you use your sample mean to estimate the population mean, ....

  28. A picture showing 68% and 95% of sample means

  29. Blank Slide


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Sampling Distributions

Last updated:
May 29, 2006

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(c) Copyright 2006 William D. Richards