# Exam 2 Study Guide: Chapters 4-6

1. Tell whether or not the probability assignments are plausible. Look at problems 4.2.3-8.
2. Find the mean and standard deviation for a binomial experiment. Look at problems 4.4.1-4.
3. A table of binomial probabilities from Minitab is given. Use them to find the probabilities asked for. Three parts. Look at problems 4.3.21-24.
4. Find the expected value and standard deviation for a situation. 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.
5. The totals from a table like you would see in question 4 is given. Find the mean, variance, and standard deviation of the probability distribution.
6. 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.
7. Determine whether or not the described situation satisfies the conditions of a binomial distribution. If they don't, tell why. Six parts. Look at problems 4.3.1-8.
8. 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.
9. A confidence interval for the population proportion is given. Find the sample proportion and the margin of error. Determine whether or not a claimed value sounds reasonable.
10. A population mean and standard deviation are given along with a sample size. Determine the mean and standard deviation for the sampling distribution of the sample means. This is straight from the Central Limit Theorem. Find the standardized score for the given sample mean.
11. 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. Decide whether or not a claimed value sounds believable.
12. 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.
13. Standard normal probabilities. Draw vertical line(s) at the indicated z-scores and shade the described region. Then use the standard normal table to find the area of the described region. The curve is supplied, you just need to label and shade it. Seven parts. Look at problems 5.2.9-28, 33-36.
14. The population mean and standard deviation for a non-standard normal distribution are given. Label a normal curve with the appropriate values for the tick marks. Label the graph to illustrate the 68-95-99.7 rule. Find the probability of an individual having a particular score. Find the raw scores based on the probabilities.
15. The results of a public opinion poll are given. Read the results and determine the sample proportion, margin of error, confidence level, and confidence interval.
16. The mean and standard deviation for a non-standard normal distribution is given. Find the raw score that goes along with a certain probability. Find the probability of the mean of a group having a particular value.

## Notes

• You will need a calculator.
• When probabilities are asked for, they should be given as decimals unless fractions are specifically asked for. Be sure to read the instructions, sometimes it tells you how many decimal places to include.
• The formulas for the mean and standard error of the sample mean and sample proportion are given on the test. You will need to be able to recognize when to use them, however.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Total 6 4 3 6 3 3 6 10 6 6 5 5 14 11 4 8 100