# Study Guide - Final 2

## Math 113

1. Find the mean, median, range, midrange, mode, and standard deviation for a set of data. The data has been ranked to make finding the median and mode easier.
2. Complete the ANOVA table. The Sum of Squares for Within and Total have been given. Also given is the total sample size and the number of samples.
3. The mean and variance of a binomial distribution are given. Find n, p, and q.
4. A probability distribution (not binomial) is given. Find the mean, variance, and standard deviation.
5. You are told how many items are in a bag and then asked some simple probability questions based on this information.
6. You are given the observed frequencies in a contingency table and are asked to find some of the expected frequencies (not all of them), to identify the degrees of freedom, and to formulate a decision based on the given test statistic. You will need to know how to find the critical value.
7. You are asked to find the critical values for a Normal, Student's t, Chi-Square, and F distribution using the alpha notation. Be aware that for any of the distributions, if the alpha is greater than 0.5, it is actually a left tail value.
8. Given a variable with a binomial distribution (n and p given), find the probability of "at least" some value using the binomial table (A1). Then approximate the value using the normal approximation to the binomial. This is where the continuity correction factor must be applied.
9. Find the probability of an individual score from a normal population being between two numbers. Find the probability of the mean of a sample from that population being within the same two values.
10. Shade the region included for six (6) normal probabilities with mean 0 and standard deviation 1. Then find the area under the curve (equal to the probabilities).
11. Determine the sample mean from a confidence interval for the population mean. Use the confidence interval to conduct a two-tailed hypothesis test.
12. Write the null and alternative hypotheses for five (5) situations. The situations are described in English, you need to convert them to math.
13. Find the expected value of a probability distribution.
14. Multiple regression. This involves the basketball statistics handout that was given in class. Identify your initial variables. Go to the computer and conduct advanced regression (multiple linear regression) and record the multiple R, multiple R square, adjusted R square, and the significance of the multiple regression equation (from the ANOVA). Narrow your variables to three based on the information provided by the computer, and then recalculate the above statistics. Know why table A6 can't be used to test for significance.
I urge you to put this sheet in the front of your notebooks with references to which sections to go to for each question. You may also want to tab (or separate in some manner) the sections which will be referenced. Review the questions from former tests like the ones that will appear here, and make sure that you know how to work them. If you need additional practice, go back to those sections in your textbook.