## Math 113: Study Guide - Chapters 5-6

- Know which distributions are symmetric about their mean
- Know which distributions require degrees of freedom
- Know which distributions could be used to find a confidence interval for the population mean
- Know properties of the standard normal distribution (multiple choice)
- Know properties of the Student's t distribution (multiple choice)
- Know properties of the sampling distribution of the sample means (multiple choice)
- Given a confidence level and a value from the t-table, find the sample size.
- Know the best point estimate for the population mean
- Know the best point estimate for the population proportion.
- Know why statistics are calculated and parameters are estimated
- Know the relationship between the confidence level and the area in the tails
- Know what a confidence interval means.
- Know the effect of increasing or decreasing the sample size on the maximum error of the
estimate.
- Know the effect of increasing or decreasing the level of confidence on the maximum error of
the estimate.
- Given a value and margin of error, find the confidence interval.
- Given a confidence interval, find the sample mean and the maximum error of the estimate.
- Know the difference between a standard normal a non-standard normal distribution
- Test problem. Given the mean and standard deviation of test scores, find the probability of
receiving a certain grade if grades are assigned competitively.
- Application problem using a non-standard normal distribution. Straight from the text in 5.3.
- Identify the distribution from the graph.
- Application problem using a non-standard normal distribution. One part is a single value, the
other part is involving the mean. Straight from the text.
- Look up a z-score and t-score from the tables using the alpha notation. Z
_{0.05} means the z-score
with 0.05 area to the right which is 1.645. Two parts.
- Use a standard normal distribution to find probabilities. There are eight parts. You must draw
the picture and find the probability.