1 / 35

Summary of Tests Confidence Limits

Summary of Tests Confidence Limits. Proportions and means. One sample Tests. Z test for a proportion. Test statistic. Confidence interval for a proportion. (1 – a )100% confidence limits for p. Z test for the mean of a Normal Population. Test statistic.

meekm
Download Presentation

Summary of Tests Confidence Limits

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Summary of TestsConfidence Limits Proportions and means

  2. One sample Tests

  3. Z test for a proportion Test statistic

  4. Confidence interval for a proportion (1 – a)100% confidence limits for p

  5. Z test for the mean of a Normal Population Test statistic

  6. Confidence interval for a mean of a normal population (1 – a)100% confidence limits for m or for large samples

  7. The t test for the mean of a Normal Population Test statistic df = n -1

  8. Confidence interval for a mean of a normal population (small samples) (1 – a)100% confidence limits for m df = n -1

  9. Two sample Tests

  10. Z test for a comparing two proportions Test statistic where

  11. Confidence intervals for the difference in two proportions (1 – a)100% confidence limits for p1 – p2

  12. Z test for a comparing two means of Normal Populations Test statistic

  13. Confidence intervals for the difference in two means of normal populations (1 – a)100% confidence limits for m1 – m2 or for large samples

  14. The t test for a comparing two means of Normal Populations (variances assumed equal, sample sizes small) Test statistic where df = n + m - 2

  15. Confidence intervals for the difference in two means of normal populations (small sample sizes equal variances) (1 – a)100% confidence limits for m1 – m2 where

  16. Tests, Confidence intervals for the difference in two means of normal populations (small sample sizes, unequal variances)

  17. Consider the statistic For large sample sizes this statistic has standard normal distribution.For small sample sizes this statistic has been shown to have approximately a t distribution with

  18. The approximate test for a comparing two means of Normal Populations (unequal variances) Test statistic

  19. Confidence intervals for the difference in two means of normal populations (small samples, unequal variances) (1 – a)100% confidence limits for m1 – m2 with

  20. Review Assignment solutions

  21. A third possible solution is to use the approximate t distribution with t0.025= 2.080 and t0.005= 2.831 for 21 df.

  22. (1 – a)100% confidence limits for m1 – m2 are: 95% confidence limits 29.95 to 48.63 99% confidence limits 26.57 to 52.01

More Related