# Study Guide - Final 1

## Math 113

Matching (4 parts each)

- Identify samples of discrete data.
- Identify pairs of independent variables.
- Identify distributions which are symmetric about their mean.
- Identify distributions which require degrees of freedom.
- Properties of probabilities.
- Properties of the standard normal distribution.
- Properties of the Student's t distribution.
- Properties of the Chi-square distribution.
- Properties of the F distribution.
- Hypothesis testing.
- Decision rules.
- Modifying data (from labs)
- Properties of Pearson's correlation coefficient.
- Properties of multinomial experiments.
- Properties of contingency tables.
- Properties of ANOVAs.
- Properties of binomial distributions.
- Properties of point estimates.
- Statistics affected by extreme values.
- Properties of the p-value.
- When to use a t distribution.
- Guidelines for using regression equation.
- Sampling distribution of sample mean.
- Combining variables (chapter 8)
- Types of sampling.

True - False

- Coefficient of determination.
- Binomial approximation.
- Def of level of significance.
- Critical value vs test statistic
- Standard error of the mean.
- What to estimate?
- Level of confidence vs level of significance.
- Level of confidence vs confidence interval width.
- Continuity correction factor.
- Expected value.
- Empirical probability.
- Five number summary
- Stem and Leaf plot.
- Variables to eliminate in multiple regression.
- R^2 in multiple regression.
- Requirement of sample coming from a normal population.
- Where to use rounded values.
- Rounding the sample size estimate.
- What to do when the degree of freedoms are in the table.
- Law of large numbers.
- If you're making your own claim, how do you decide how to word it.
- Benefit of p-value.
- Adjusted R^2.

49 - 58 are to identify the distribution that the test statistic used would have. Choices are Z
(normal), t, chi-square, and F. Check the appropriate distribution.
59 - 72 are definitions. The definition and the term are provided. You must match them. Know
these terms: Alternative Hypothesis, Binomial Experiment, Class Mark, Class Boundary,
Conclusion, Confidence Interval, Continuity Correction, Correlation Coefficient, Critical Value,
Decision, Degrees of Freedom, Hypothesis, Median, Midrange, Multinomial Experiment, Null
Hypothesis, Parameter, Probability Distribution, Sample Size, Statistic, Test Statistic, Type I
Error, Type II Error.

Problems 1 - 25 are two points each. All other problems are 1 point each.