Statistic homework and exams

Unit 4

· Recognize if the given random variable is discrete or continuous

· Properties of a discrete probability distribution

· Find any probability from a given discrete probability distribution table (exactly equal to, less than, more than a number)

· Find the mean or expected value of a discrete probability distribution using calculator

· Know the properties of the mean or expected value of a discrete probability distribution

· Recognize if the given variable has a binomial or Poisson distribution

· Properties of binomial distribution

· Shapes of binomial distribution for different values of p

· How to find the mean of new Poisson distribution based on given Poisson distribution

· Properties of the continuous probability distribution, normal distribution, and the standard normal distribution

· Recognize the shaded area of a normal distribution for the probability from a normal distribution

· Find the area of normal distribution using empirical rule

Unit 5

· Recognize the type of sampling method (simple random, systematic, stratified, cluster, or convenience) used in a given description

· Properties of probability distribution of sample mean

Effect of sample size on shape, mean and spread of the distribution

Name and mean of the distribution when sample is selected from a population

· Central limit theorem

· Select the graph that represent probability distribution of sample mean based on given graph of population distribution

· The best point estimates for the population mean and population proportion

· The difference between point estimate and confidence interval

· Why the confidence interval is better than point estimate

· Meaning of confidence level

· Effect of sample size and confidence level on width of confidence interval

· Preferred width of confidence interval and confidence level

· Required assumptions when constructing confidence intervals for mean and proportion

· Guess the correct confidence interval without computing it

· Compute sample proportion when numerical summaries from sample are given

· If confidence interval is given, how to compute point estimate and/or margin of error

· Interpret confidence interval appropriately

· Decide if a statement is correct based on a given confidence interval

Unit 6

· Recognize the correct statement for null (H0) and alternative (H1) hypotheses based on given information

· Decide if the test is one-tail or two-tail based on given hypotheses