Exam 3 - Study Guide
- Which distributions are symmetric about their mean? (multiple choice)
- Which distributions require degrees of freedom? (multiple choice)
- Which distribution should be used to find a confidence interval? (multiple choice)
- Properties of the standard normal distribution. (multiple choice)
- Properties of the Student's t distribution. (multiple choice)
- Properties of the Chi-Square distribution (multiple choice)
- How to change the maximum error of the estimate. (multiple choice)
- When should a normal approximation to the binomial be used? (true false)
- What are degrees of freedom? (true false)
- What is the best point estimator for the population mean? (true false)
- What is the best point estimator for the population variance? (true false)
- What needs to be estimated? (true false)
- Relationship between confidence level and area in tails. (true false)
- Relationship between confidence level and confidence interval width. (true false)
- Usage of the continuity correction factor. (true false)
- Calculate a cutoff score for an exam when a grades are assigned by percentage of students, rather than quality of exam. Only one score to calculate. See problem 33 in section 5.3.
- Calculate probabilities for a standard normal distribution. Also sketch the region. These are exactly out of the book. See problems 5 - 24 in section 5.2. Five parts.
- Approximate a binomial probability using the normal distribution. See your notes for the problem we did in class about passing an exam with at least 60% of 100 true-false questions answered correctly.
- Calculate a normal probability for an individual and also for the mean of a sample of people. This problem is exactly out of the text. Look at problems 1, 2, 17, and 18 in section 5.4 and problem 8 in the chapter 5 review.
- Calculate a normal probability from a non-standard distribution. This problem is exactly out of the text. See problems 9 - 29 (odds) in section 5.3.
- Summarize the Central Limit Theorem. The CLT has been stated with certain key words omitted. Fill in the blanks.
- Calculate the degrees of freedom for a problem. This is to test your understanding of the concept of degrees of freedom, rather than the memorization of a formula.
- Look up values from the tables using Critical Value notation. One normal, one student's t, and one chi-square. See explanation of critical value notation in section 6.2 (page 290) and section 6.4 (page 322).
- Find the critical values for a confidence interval about the population variance. Find the sample size when the critical value is known.
Distributions we have discussed (and hence you should know the properties of)::
- Multiple choice questions are 4 points each (1 point for each possible answer).
- True-false questions are 2 points each.
- 16, 18, 19, 20, and 22 are 4 points for each part.
- 17 is 3 points per part for a total of 15 points.
- 21 is 6 points.
- 23 and 24 are 2 points per part.
There is no working in groups on this exam.
- Uniform (from statdisk)
- Student's t
The take home exam for chapter six is to work the even numbered problems from the Chapter 6 review on pages 331 - 333. There are nine problems, 2 points each, for a total of 18 points. This will be a separate grade from the chapter 5-6 exam which is worth 100 points.