Z-testofOneMean

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Contents

  1. Title

  2. There are two kinds of questions ...

  3. What is the population's mean?

  4. Did this sample come from that population?

  5. Estimating Confidence Intervals

  6. But how good an estimate is it?

  7. It would be good to know both ...

  8. Here are two clues about how ...

  9. How much sampling variability is there?

  10. Sampling distributions are normal

  11. Three things about sampling distributions

  12. You can be 95% certain that your ...

  13. For example, a random sample of 25 ...

  14. Estimate the SEM like this

  15. What you know about sampling distributions

  16. 95% of all sample means fall within ...

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

  18. In other words, ... in still other words,

  19. The z-test of a single mean

  20. The Evel Kineval Speed Reading School

  21. You take a sample of 36 of their graduates

  22. Is the difference due to sampling variability?

  23. Two competing explanations

  24. The Null Hypothesis

  25. The Alternate Hypothesis

  26. You ALWAYS test the null hypothesis

  27. Is it just a coincidence?

  28. What are the chances of getting ...

  29. The z-test in five easy steps

  30. Step 1. Formulate your hypotheses

  31. Step 2 Choose your confidence level

  32. Step 3. Determine the critical value of z

  33. What you do with the critical value

  34. Step 4. Calculate your observed value of z

  35. Example calculation of z

  36. Step 5. Compare observed z to critical z

  37. A picture showing the comparison

  38. Interpreting the result of the test

  39. Blank Slide


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Z-test of one mean

Last updated:
August 6, 2005

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(c) Copyright 2005 William D. Richards