# Exam 2 Study Guide: Chapters 4-6

1. Tell whether or not the probability assignments are plausible. Five parts. Look at problems 4.2.3-8.
2. Find the mean and standard deviation of a binomial experiment. Use them to label a bell-shaped curve. This is sort of like question 2 on the chapter 4 homework.
3. The mean and standard deviation for a binomial distribution are given. Use them to find the number of trials, the probability of success on a single trial, and the probability of failure on a single trial.
4. Find the expected value and standard deviation for a probability distribution. The probability distribution is given, but you need to know the formulas for finding the mean and standard deviation. Look at problems 4.2.3-8. This is like question 1 on the chapter 4 homework.
5. The values of ∑x2p(x) and ∑xp(x) are given for a probability distribution. Use them to find the mean, variance, and standard deviation of the probability distribution.
6. Look up the critical values needed for the indicated confidence interval. Two parts. Remember that normal distribution doesn't require df, but the df=n-1 for the t distribution and it's the df you lookup in the t table, not the sample size.
7. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Five parts. Look at problems 4.3.1-8.
8. A sample size and number of successes is given. Find the sample proportion, the standard error for the sample proportion, the margin of error, and the confidence interval. This is like question 2 on the chapter 6 homework.
9. A confidence interval for the population proportion is given. Find the sample proportion and the margin of error.
10. A sample size and a confidence interval for the population mean are supplied. Find the sample mean, the margin of error, the standard error the means, and the sample standard deviation.
11. You are given a table with columns for the z-score, area to the left of the z-score, area to the right of the z-score, and twice the smaller area. You will be given one piece of information (anything but twice the smaller area) and asked to find the other values. Five parts. This is like question 1 on the chapter 5 homework.
12. The mean and standard deviation for a non-standard normal distribution is given. Find the probability of one randomly selected individual having a certain value. Find the raw score that goes along with a certain probability. Find the probability of the mean of a group having a particular value. This is like question 2 on the chapter 5 homework.
13. Same type of problem as #12.

## Notes

• You will need a calculator.
• Do not give probabilities as percents unless the problem specifically asks for it that way.
• The formulas for the mean and standard error of the sample proportion and sample mean are given on the test. A generic formula for margin of error is also given. You will need to know when and how to use the formulas, though.
• The standard normal and t-tables will be supplied with the test.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 Total 10 4 3 4 3 4 10 8 4 8 18 12 12 100