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# MATH 130Introduction to Statistics• 5 Cr.

## Description:

Emphasis on gathering and interpreting data. Material has applications in the medical fields, as well as the Social Sciences. Fulfills the quantitative or symbolic reasoning course at BC. Prerequisite: Placement by assessment or MATH 098 with a C or better.

## Outcomes:

After completing this class, students should be able to:

• Use the main statistical functions on a Graphing Calculator such as TI-83.
• Construct and interpret appropriate displays of data, including time plots, scatterplots, histograms and pie charts.
• Recognize the difference between continuous and discrete variables.
• Identify the population and recognize bias in sampling.
• Select a simple random sample and recognize sources of error.
• Distinguish between observational studies and experiments.
• Outline the design of a completely random experiment.
• Recognize the placebo effect.
• Recognize when a double blind experiment is appropriate.
• Find the mean, median, mode and mid-range of a set of data.
• Compute variance and standard deviation.
• Explain what the standard deviation tells us about a set of data.
• Use the standard deviation to compute z-scores and percentiles.
• Explain the concept of (mathematical) randomness.
• List the sample space of simple probability experiments.
• Explain what the Law of Large Numbers does NOT say and how it relates to classical probability.
• Apply the rules of probability in context and compute expected values.
• Apply the definition of dependence and independence to determine if events are independent or dependent.
• Recognize when the Normal Distribution is appropriate and when it's not.
• Solve problems involving the Standard Normal Distribution.
• Use the Central Limit Theorem to find probabilities of sampling means.
• Interpret and find confidence intervals.
• Test hypotheses dealing with means and proportions.
• Use Regression Analysis to test correlation of data and find an equation relating data.

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