MATH 130

Introductory Statistics

LEARNING OUTCOMES

 

After successfully completing Math 130, a student will be able to:

 

  1. Use the main statistical functions on a TI-83.

 

  1. Construct and interpret appropriate displays of data, including time plots, scatterplots, histograms and pie charts.

 

  1. Recognize the difference between continuous and discrete variables.

 

  1. Identify the population and recognize bias in sampling and select a simple random sample and recognize sources of error.

 

  1. Distinguish between observational studies and experiments.

 

  1. Outline the design of a completely random experiment and recognize the placebo effect.

 

  1. Recognize when a double blind experiment is appropriate.

 

  1. Find the mean, median, mode and mid-range of a set of data and compute variance and standard deviation.

 

  1. Explain what the standard deviation tells us about a set of data.

 

  1. Use the standard deviation to compute z-scores and percentiles.

 

  1. Explain the concept of (mathematical) randomness and list the sample space of simple probability experiments.

 

  1. Explain what the Law of Large Numbers does NOT say and how it relates to classical probability.

 

  1. Apply the rules of probability in context and compute expected values.

 

  1. Apply the definition of dependence and independence to determine if events are independent or dependent.

 

  1. Recognize when the Normal Distribution is appropriate and when it's not.

 

  1. Solve problems involving the Standard Normal Distribution.

 

  1. Use the Central Limit Theorem to find probabilities of sampling means.

 

  1. Interpret and find confidence intervals.

 

  1. Test hypotheses dealing with means and proportions.

 

  1. Use Regression Analysis to test correlation of data and find an equation relating data.