Questions 1-18 are true-false. You should know the following.

- Properties of the F distribution. Is it symmetric? Does it have negative critical values? What is its mean and standard deviation? What is its relationship to the chi-squared distribution? Does it require degrees of freedom? How do you find a left tail critical value from the table? What do you use the F test for?
- What is the default level of significance?
- What two things are compared in the classical approach to hypothesis testing? What two things are compared in the probability value approach to hypothesis testing?
- What is the relationship between the probability value for a one-tail test and a two-tail test?
- Know that a sample must be from an essentially normal population to use the student's t, chi-squared, and F distributions.
- When does the central limit theorem apply? When can the binomial can be approximated using the normal?
- How can one tell from a histogram whether or not the data is normal? What is the Anderson-Darling test used for? How does one interpret the Anderson-Darling test? What is a probability plot (quantile-quantile plot) used for? How does one interpret the probability plot?
- What is the mean of a chi-squared distribution?

- Definitions (matching). Eighteen parts. Answers may be repeated. Some answers are not used. You should know the definitions / descriptions of: Null Hypothesis, Alternative Hypothesis, 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, Anderson Darling Test, Probability (Q-Q) Plot.
- You are given a pair of statements (similar to "Bruce is innocent" / "Bruce is guilty"). Decide which is the null hypothesis and which is the alternative hypothesis. Three parts.
- You are given a pair of errors. Decide which one is the type I error and which one is the type II error. Three parts.
- Know the assumption fundamental to all hypothesis testing.
- A curve is given. Label the critical region, non-critical region, and critical value(s). Identify the area in the critical and non-critical regions. Write "Reject H0" and "Fail to Reject H0" in the appropriate regions. Identify the distribution and whether it is a left-tail test, right-tail test, or two-tail test.
- The graphs of three different Student t distributions are given. Be able to match the graph with the degrees of freedom.
- Identify the distribution from the graph. Six parts. Know the binomial, uniform, normal, student's t, chi-square and F distributions.
- Look at a histogram and decide whether or not the data appears to come from a population that is normally distributed.
- 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). Four parts.
- Given a probability value and level of significance, write the decision. Two parts.
- An unknown (to you) test is performed and the type of test, critical value, and test statistic are given. Be able to write the decision and conclusion.
- An unknown (to you) test is performed and a p-value is given. Be able to write the decision and conclusion based on the p-value.
- 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)
- An unknown (to you) hypothesis test is performed and p-value is given. Give the decision and conclusion.
- A joint frequency table is given to you. Find six probabilities (joint, marginal, conditional, or union) based on the table. Look at the chapter 3-4 test for a review of this. Then use Statdisk to perform a hypothesis test. Write the original claim symbolically and identify whether it is the null or alternative hypothesis; 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.
- Use Statdisk to perform a hypothesis test. Write the original claim symbolically and identify whether it is the null or alternative hypothesis; 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.

- The tables in the book are not needed for this test.
- There is a list of references at the end of the test. This has no bearing on the test, it's just for reference purposes instead of including it with each problem.
- There is a take home exam for this test. It is worth 12 points and is due the day of the in-class exam.

# | 1-18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | Take Home |
Total |
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Pts | 9 | 10 | 3 | 3 | 2 | 4 | 2 | 3 | 1 | 8 | 2 | 3 | 3 | 12 | 3 | 13 | 7 | 12 | 100 |