Math 113: Study Guide - Chapters 7 - 8

  1. Definitions (matching). Seventeen parts. Answers may be repeated. Some answers are not used. You should know the definitions / descriptions of: Null Hypothesis, Alternative Hypothesis, Level of Significance, Level of Confidence, Probability Value, Type I Error, Type II Error, Critical Region, Critical Value, Test Statistic, Independent Samples, Dependent Samples, Kolmogorov Smirnov Test, Q-Q Plot.
  2. Know the assumption fundamental to all hypothesis testing.
  3. You are given a situation. Decide which is the null and alternative hypotheses. Decide which error is type I and which error is type II. Similar to the "OJ" problem worked in class from section 7.2
  4. Know the properties of the F distribution. Multiple choice, circle all correct responses.
  5. T-F: Know that the probability value allows you to make a decision without knowing anything about the underlying distribution.
  6. T-F: Know what two things are compared to reach a decision when using the classical approach to hypothesis testing?
  7. T-F: Know the relationship between the probability value for a one-tail test and a two-tail test.
  8. T-F: Know when the binomial can be approximated using the normal.
  9. T-F: Know that a sample must be from an essentially normal distribution to use the student's t (page 378, item 3b), chi-square (page 396 - assumption in blue box), and F (page 436, item 2) distributions
  10. Use the normal or student's t table to look up a probability-value when the test statistic is known (read section on p-values on pages 382-383, especially the first example)
  11. Use the normal or student's t table to find the critical value.
  12. Given the critical value(s) and test statistic, identify the test as left, right, or two-tailed and write the decision (Reject the null hypothesis or Fail to reject the null hypothesis). This is very similar to activity 7. Three parts.
  13. Given a probability value and level of significance, write the decision. Two parts.
  14. Write the null and alternative hypotheses for the given claim. The claim could be about one or two means, proportions, variances or standard deviations. Also identify whether the test is a left-tailed, right-tailed, or two-tailed test (based on the alternative hypothesis). Six parts. If you have two samples, be sure to define your subscripts or use appropriate letters (ex: M for male, F for Female)
  15. Output from SPSS is given. Identify the test as about one or two means, proportions, or standard deviations; write the original claim symbolically; write the null and alternative hypotheses; identify as left, right or two-tailed; give the test statistic, and p-value from SPSS; give the decision; give the conclusion.
  16. Output from SPSS is given. Identify the test as about the mean of two independent or dependent samples. Write the original claim symbolically, write the null and alternative hypotheses, identify the test as left, right, or two tail, give the test statistic and p-value from the SPSS output, give the decision and conclusion.
  17. Statdisk hypothesis test. Identify the test as about one or two means, proportions, or standard deviations; write the original claim symbolically; write the null and alternative hypotheses; identify as left, right or two-tailed; give the critical value(s), test statistic, and p-value from statdisk; give the decision; give the conclusion.
  18. Statdisk hypothesis test. Same questions as #17.
  19. An unknown (to you) test is performed and a p-value is given. Be able to write the conclusion based on the p-value.
  20. Statdisk hypothesis test. Same questions as #18. Be able to interpret a Q-Q plot.
# 1 2 3 4 5 6 7 8 9 10
Pts 17 2 2 4 1 1 1 1 1 2
# 11 12 13 14 15 16 17 18 19 20 Total
Pts 2 6 2 12 8 8 9 9 2 10 100