Math 113: Study Guide - Chapters 5-6
- Know which distributions (uniform, binomial, normal, t) are symmetric about their mean
- Know which distributions require degrees of freedom
- Know the best point estimate for the population mean
- Know the best point estimate for the population proportion.
- Know which distribution is appropriate in the described situation: Example: A small sample
from a normal population with the population standard deviation unknown would be the
Student's t distribution.
- Know the effect of increasing or decreasing the sample size on the maximum error of the
- Know the effect of increasing or decreasing the level of confidence on the maximum error of
- Know the relationship between the confidence level and the area in the tails
- 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 critical value from the t-table, find the sample size.
Remember that the t-table gives degrees of freedom, you will need to add 1 to get the sample
- Know why statistics are calculated and parameters are estimated
- Know what a confidence interval means. Refer back to the discussion about military garb.
- Know the difference between a standard normal a non-standard normal distribution
- Given either the sample mean or sample proportion and margin of error, find the confidence
- Given a confidence interval, find the sample mean and the maximum error of the estimate.
- Competitive Test problem. Given the mean and standard deviation of test scores, find the
probability of receiving a certain grade if grades are assigned competitively. Only one letter
grade is given.
- Application problem using a non-standard normal distribution. Straight from the text in 5.3.
Looking through your lecture notes would be wise.
- Identify the distribution from the graph. Need to know what an uniform, binomial, normal,
and Student's t distribution looks like.
- 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 in 5.5.
- Look up a z-score and t-score from the tables using the alpha notation. Z0.05 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 seven parts. You must
draw the picture and find the probability. There is a normal graph given, you just need to
shade the proper portion.