Math 113: Study Guide - Chapters 5-6

  1. Matching. Know the definitions of consistent estimator, continuity correction factor, level of confidence, degrees of freedom, efficient estimator, finite population correction factor, interval estimate, Kolmogorov-Smirnov test, maximum error of the estimate, point estimate, Q-Q Plot, sampling distribution of the sample means, standard error of the mean, and unbiased estimator. Fourteen parts.
  2. Use a standard normal distribution to find probabilities. There are seven parts. You must draw the picture and find the probability. There is a normal graph given, you just need to shade the proper portion. Two points for finding the correct probability and one point for shading the proper region. This problem accounts for slightly over 1/5th of the points on the test and it is very important!
  3. Know which distributions (uniform, binomial, normal, t, chi-square) are symmetric about their mean.
  4. Know which distributions require degrees of freedom.
  5. Know properties of the standard normal distribution.
  6. Know properties of the Student's t distribution.
  7. Know properties of the chi-square distribution.
  8. Know properties of the sampling distribution of the sample means.
  9. Know which distribution is appropriate for the described situation. For example, flipping a coin uses a binomial distribution; rolling a die uses the uniform distribution.
  10. Know which distribution is appropriate.
  11. Know the best point estimate for the population mean.
  12. Know the best point estimate for the population proportion.
  13. Know the best point estimate for the population variance.
  14. Know the effect of increasing or decreasing the sample size on the maximum error of the estimate. From lab.
  15. Know the effect of increasing or decreasing the level of confidence on the maximum error of the estimate. From lab.
  16. Know what a confidence interval means.
  17. Look up a critical z-score using the alpha notation. Z0.05 means the z-score with 0.05 area to the right which is 1.645.
  18. Look up a critical t-score using the alpha notation.
  19. Look up a critical chi-square score using the alpha notation. Know how to handle degrees of freedom that aren't in the table.
  20. Given a confidence level and a critical value from the t-table, find the sample size. Remember that the t-table gives degrees of freedom, you will need to add 1 to get the sample size.
  21. Find a normal probability. Section 5.3.
  22. Find the probability of a mean being a certain value using normal probabilities. Section 5.5.
  23. Find a raw score using normal probabilities. Section 5.4.
  24. Construct a confidence interval. Use Statdisk.
  25. Construct a confidence interval. Use Statdisk.
  26. Look at a qq-plot and determine if the data is normally distributed.
  27. Find the sample size. Use Statdisk.
  28. Describe the difference between a standard normal and a non-standard normal.
  29. Identify the distribution from the graph. Need to know what the uniform, binomial, normal, Student's t, and chi-square distributions look like.

Notes:

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Pts 14 21 2 2 2 2 2 2 2 2 2 2 2 2 2
# 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Total
Pts 2 3 3 3 3 3 3 3 3 3 2 3 3 2 100