Math 113: Study Guide - Chapters 5-6

Problems 1-54 are true or false. Here are some of the things you need to know (not necessarily in question order). When I write "properties" of a distribution, I include mean, variance, standard deviation, requirements for use, symmetry, degrees of freedom, whether or not the critical values can be negative, and other items discussed in class or in the textbook.

Here is a problem by problem description for the rest of the test.

  1. Describe the difference between a standard normal and a non-standard normal distribution.
  2. Identify the distribution from the graph. Need to know what the uniform, binomial, normal, Student's t, and chi-square distributions look like.
  3. A uniform distribution is described. Draw the probability density curve, find the mean, and the probability of x lying between two values. Look at pages 227-228 and problems 5.2.1-8.
  4. Use the Anderson-Darling test to determine whether or not data is normally distributed based on the p-value.
  5. A confidence interval for the population mean is given. Find the sample mean and the margin of error. Look at page 305 and problems 6.2.1-4.
  6. A confidence interval for the population proportion is given. Find the sample proportion and the margin of error. Look at page 336 and problems 6.5.1-4.
  7. Use Statdisk to estimate a sample size.
  8. 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!
  9. Find a normal probability. Section 5.3.
  10. Find the probability of a mean being between two values using normal probabilities. Section 5.5.
  11. Find a raw score using normal probabilities. Section 5.4.
  12. Use Statdisk to construct a confidence interval.
  13. Use Statdisk to construct a confidence interval.
  14. Look at a qq-plot (normal probability plot) and determine if the data is normally distributed.


Points per problem

# 1-54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 Take
Pts 27 2 2 3 2 3 3 3 21 4 4 4 3 3 1 15 100