Math 210
Review for Test 2

The second test will be given on Thursday, October 23, 2008.  You again can use a page of your own notes and a calculator.  The test will cover the following material.

Chapter 6: Probability Distributions

You should know how to determine the mean of a discrete probability distribution.  You should know how to find the standardized score of a number from a normal distribution. You should be able to determine various proportions below, above, or between z-scores. 

You should know what a binomial distribution is, when it can be used, and be able determine probabilities associated with a binomial distribution using either the formula or your calculator.

Chapter 7: Probability Distributions

You should also be able to determine the mean and the standard deviation of a binomial count as well as those for a sample proportion.  You should know what the Central Limit Theorem is and how it is used. You should know what a sampling distribution is. You should be able to find probabilities, using the normal distribution, associated with a sampling distribution.


Chapter 8: Statistical Inference---Confidence Intervals

You should know what factors influence the width of a confidence interval and how they influence it. You should be able to describe what a confidence interval really means. You should also be able to determine the sample size required for a confidence interval to have a desired margin of error.

You should know how to determine a confidence interval for a single population proportion. You should also be able to determine the sample size needed to construct a confidence interval with a certain margin of error for a single population proportion both with a estimated sample proportion and a totally unknown sample proportion.

You should know how to determine a confidence interval for the mean of a population. You should know some of the characteristics of the t-distribution. You should also know the assumptions and limitations of using the t procedures.  You should also know how to estimate the sample size needed for a confidence interval to have a desired margin of error.

Chapter 9: Statistical Inference: Significance Test about Hypotheses

You should know in general the steps of a test of significance.  You should know how hypotheses and conclusions are stated, what statistically significant means, and what a P-value means.

You should know how to perform a test of significance for a single population proportion.  You should also know the assumptions and limitations of using our inference methods on population proportions.

You should know how to perform a test of significance for the mean of a population.  You should also know the assumptions and limitations of using the t procedures.

There are certain things to be aware of when conducting a test of significance.  You should know the importance (or lack of importance) of the significance level.  You should know the difference between statistically significant and practical significance.  You should know what searching for significance means.  You should know how a bad experimental design or survey could affect a test of significance.  You should know how sample size affects the results.  You should also know what type I and type II errors are and how to determine the probability of a Type I error.  You should be able to examine a test of significance and describe what a type I and type II error would be for that test.