1 / 17

Reviewing Normal Distributions and Z-scores

Reviewing Normal Distributions and Z-scores. from Math III. You will need : White board & marker Calculator Z-score Table FFM Sheet (eventually). REMINDER: .

wynona
Télécharger la présentation

Reviewing Normal Distributions and Z-scores

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. Reviewing Normal Distributions and Z-scores from Math III • You will need: • White board & marker • Calculator • Z-score Table • FFM Sheet (eventually)

  2. REMINDER: • The Standard Normal Distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To more easily compute the probability of a particular observation given a normally distributed variable, we can transform any normal distribution to this standard normal distribution using the following formula: • ; ; • When you find this value for a given value, it is referred to as the z-score. • The z-score is a standard score for a data value that indicates the number of standard deviations that the data value is away from its respective mean.

  3. 1.) Given a normal distribution with a a.) What data value corresponds to a z-score of 1.5?

  4. 1.) Given a normal distribution with a b.) What data value corresponds to a z-score of ?

  5. 2.) Given a normal distribution with a Calculate the z-score for: a.) X = 65

  6. 2.) Given a normal distribution with a Calculate the z-score for: b.) X = 90

  7. 2.) Given a normal distribution with a Calculate the z-score for: c.) X = 82.5

  8. 3.) Given a normal distribution with a Determine the X value which corresponds to the following z-scores: a.) Z = HINT: You will need to work backwards to find X…plug values into z-score formula and solve for x.

  9. 3.) Given a normal distribution with a Determine the X value which corresponds to the following z-scores: b.) Z = 0.75 HINT: You will need to work backwards to find X…plug values into z-score formula and solve for x.

  10. 3.) Given a normal distribution with a Determine the X value which corresponds to the following z-scores: c.) Z = 1.9 HINT: You will need to work backwards to find X…plug values into z-score formula and solve for x.

  11. 4.) Given a normal distribution with a Using the empirical rule, a.) what percent of the data falls between and ? b.) what x-values would correspond to (a) to contain that same percentage of data?

  12. 4.) Given a normal distribution with a Using the empirical rule, c.) what percent of the data falls between and ? d.) what x-values would correspond to (c) to contain that same percentage of data?

  13. 4.) Given a normal distribution with a Using the empirical rule, e.) What percent of the data falls to the LEFT of ?

  14. 4.) Given a normal distribution with a Using the empirical rule, f.) What percent of the data falls to the LEFT of ?

  15. 4.) Given a normal distribution with a Using the empirical rule, g.) What percent of the data falls to the RIGHT of ?

  16. FFM 8/16/13: In a normal distribution with and , 1.) find X if 2.) find P() = _____ 3.) P 48.2)

  17. A.M. III HOMEWORK Section 9.2, pg. 588-590 # 9.20 #9.22 #9.24 #9.28

More Related