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Course level: Undergraduate
Students apply elementary probability theory, descriptive and inferential statistics, and reasoning to real-world situations. The course embeds foundational skill into topics including probability, statistics, and reasoning.
- MTH/217 – Statistics I OR
- one college-level statistics course, OR
- one college-level course that primarily included topics of central tendency and description of data
What you'll learn
Course skills and outcomes
Sampling Distributions and Central Limit Theorem
- Explain the purpose of sampling distributions.
- Explain how sampling error affects the need for sampling distributions.
- Calculate the mean and standard deviation of a variable given mean and standard deviation of a population.
- Apply the central limit theorem.
- Determine the sampling distribution of the sample mean.
Confidence Intervals and Estimates
- Identify quantities as parameters or statistics.
- Define the given population and sample.
- Calculate confidence intervals including margins of error for means.
- Calculate the required sample size to estimate a population mean.
Correlation and Regression
- Graph linear equations.
- Calculate the slope and intercepts of a line.
- Interpret the slope and intercepts of a line.
- Determine when using a regression line is appropriate.
- Calculate the correlation coefficient for a set of paired data.
- Interpret the correlation coefficient for a set of paired data.
- Use technology to graph data, create a trend line, and calculate the equation of the trend line.
- Analyze how confidence intervals relate to hypothesis testing.
- Use the P-value approach to test a hypothesis.
- Perform the five steps in hypothesis testing with one- and two-tailed z-tests.
- Perform the five steps in hypothesis testing with one- and two-tailed t-tests.
- Discuss possible type 1 and type 2 errors in hypothesis testing.
- Use statistics to analyze application problems.