Chapter 5 – Study Notes

 

1. What is a normal distribution?
2. The two parameters that determine the shape of a normal distribution are ____ and ______.
3. What is the definition of a uniform distribution?
4. What are the two requirements for a density curve?
5. The density curve of a uniform distribution is a ____________ _____.
6. The standard normal distribution has a mean of ____ and a standard deviation of ___.
7. A z score is a _________ while the area under the curve is a _______.
8. Read through and understand the examples on pages 231-235.
9. Work through the example on page 236 using Table A-2 and one other method.
10. The area of 0.4500 is associated with the z score of ____ and the area of 0.4950 is associated with the z score of _____.

 

Work through the odd problems on pages 239-241.

 

11. What is the formula used to convert values to standard scores?
12. The steps on page 242 are very useful – work through these steps with several examples.

 

Work through the odd problems on pages 245-248.

 

13. There are some very good suggestions on page 249-50. Work through the examples on pages 250-252

 

Work through the odd problems on pages 252-255.

 

14. One of the most important and useful concepts in statistics is the ______ ______ _____.
15. The Central Limit Theorem is somewhat complicated – however, it is essential that you understand it. Read over pages 255-257 until you get a good understanding of this important theorem. The example on page 258 will be helpful. Note that the distribution of SS digits is best modeled by a uniform distribution, however the distribution of the sample means is best modeled by a normal distribution.
16. What are the 3 rules used when applying the Central Limit Theorem?
17. What is the Rare Event Rule?
18. What is the finite population correction factor?
19. In this course, will the finite population correction factor be used often?

 

Work through the odd problems on pages 263-267.

 

20. When the Normal Distribution is used as an approximation to the Binomial Distribution, the mean is defined as ____ and the standard deviation is defined as ___.
21. The flow chart on page 269 will be very useful in some of the calculations.
22. The example on page 270 will also help you to understand the calculations.
23. What is a continuity correction?
24. Low probabilities correspond to _____ events while large probabilities correspond to ______ events.

 

Work through the odd problems on pages 275-9.

 

25. Some important statistical methods require that the sample data were collected from a population that has a ________ distribution.
26. What is a normal quartile plot?
27. How many outliers are acceptable before normality is rejected?
28. The examples on page 281-2 will help you to understand the idea of normality plots.

 

Work 1, 3 on page 283

 

Work through the Review and Cumulative Review Exercises on pages 286-8

 

Math 1442 students, answer the 4 questions on page 284 (I Qs are rising) and the 2 questions on page 291 (Critical Thinking). Also, read the article on pages 292-3 and answer the question of ‘Do you agree with the idea that journalists should have some knowledge of statistics?” – Email your answers to these 7 questions to [email protected].

 

The Chapter 5 test will be available starting on _______ until ________. This test consists of 20 multiple choice questions and has a time limit of 40 minutes. You can use your textbook and notes as you take the exam.