Final Exam II - Study Guide

  1. Given a set of data, find some of the following statistics: Mean, Mode, Median, Midrange, Range, Standard Deviation, Variance.
  2. Given a set of data, create a stem and leaf plot.
  3. Perform a multinomial experiment on a set of data. You may need to determine the degrees of freedom, test statistic, critical value, arrive at a decision, and state the conclusion. Be aware of any reasons the results may be invalid.
  4. Find the mean, variance, and standard deviation of a probability distribution.
  5. Some simple probability questions. Like "There are 3 pennies, 4 dimes, and 6 walnuts, an object is drawn at random, what's the probability it's a dime? What's the probability it's a coin?"
  6. Analyze a contingency table. Calculate the expected frequencies for each cell. Identify the degrees of freedom and perform the chi-square test to arrive at a decision. Be aware of any reasons the results may be invalid.
  7. Look up critical values from the table. These are of the form Z(0.25), t(19,0.01), etc (the parentheses are because I can't display subscripts on the Internet). This is not where you have to determine which test to use, this is just looking up the values in the tables. Be aware of how to handle left tails in each case. (Normal, Student's t, Chi-Square, and F).
  8. A random variable has a binomial distribution. Find the probability of at least something using the table (A1) and the normal approximation to the binomial.
  9. Find the area under the normal curve and shade the area on the supplied curve. There are six parts.
  10. Write the null and alternative hypotheses for the given statements. Five parts.
  11. Find the sample mean from a confidence interval for the population mean. Use the confidence interval as a hypothesis test.
  12. For a normally distributed sample, find the probability that an individual score is between two numbers and the probability that the sample mean is between the same two numbers.
  13. Find the expected value of a problem.
  14. Perform some linear regression analysis. Determine if there is significant linear correlation. Use the regression equation to estimate a value. Be aware of any reasons the results may be invalid. Be able to find the coefficient of determination and the percent of variation that can be explained by thre regression equation.
  15. Given the mean and variance of a binomial distribution, find n, p, and q.