Sampling Distribution of Xbar

This lesson considers the fundamentals of the sampling distribution of the sample mean, and discusses how to calculate the parameters and probabilities associated with it, using a normal probability table and Minitab. This lesson also demonstrates the Central Limit Theorem using simulated data.

Sample Topics

  • Simulated data
  • Rolling dice
  • Flight weight limits
  • Bowling scores

Lesson Targets

  • Define the sampling distribution of the sample mean
  • Discuss the distribution and parameters for the sampling distribution
  • Discuss the properties of the Central Limit Theorem
  • Calculate probabilities associated with the sampling distribution

Materials Included

  • Lesson overview with instructor's notes
  • Activity sheet containing 16 exercises
  • Activity answer key