Lesson Introduction

Lesson Outcomes

Conduct a Hypothesis Test for the true mean of the differences \(\mu_d\) from matched pairs data:

  • Choose the appropriate hypothesis test.
  • State the null and alternative hypothesis.
  • Show the appropriate numerical and graphical summaries that support the hypothesis test.
  • Check the requirements for the hypothesis test.
  • Calculate the test-statistic, degrees of freedom, and \(p\)-value of the hypothesis test.
  • Assess the statistical significance by comparing the \(p\)-value to the significance level, \(\alpha\).
  • Draw a correct conclusion for the hypothesis test.

Calculate and interpret a Confidence Interval for the true mean of the differences \(\mu_d\) from matched pairs data:

  • Choose the appropriate confidence interval.
  • Show the appropriate numerical and graphical summaries that support the confidence interval.
  • Check the requirements for a confidence interval.
  • Calculate the confidence interval for a given level of confidence.
  • Identify the point estimate and margin of error corresponding to the confidence interval.
  • Interpret the confidence interval for a given level of confidence.

Case Study:

Case Study Objective:


Design

Collect

Describe

Make Inference

Take Action


Note

Concepts and Definitions

Worked Example

Preparation Assignment

Homework Assignment



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