Probability and Statistics

Overview/Description
 The Measure step of the DMAIC system used in Six SigmaŽ relies on the use of probability and statistics to produce information on variations in process. Black Belt candidates must be proficient in descriptive, inferential, and process-oriented statistical thinking; must understand how to stratify data; and must appreciate the uses of the Central Limit Theorem and inferential statistics to interpret available data. This course serves as a summary for each of these areas, and provides a refresher on basic statistical methods and the uses of probability. Six Sigma is a registered Trademark of Motorola Corporation, and all right, title and interest in Six Sigma belongs to Motorola.

Target Audience
 Candidates for Black Belt certification; managers/executives overseeing personnel involved in the implementation of Six Sigma in their organization; consultants involved in implementing a Six Sigma proposal; and organizations implementing a Six Sigma project

Expected Duration
2.0 hours

Lesson Objectives:

Drawing Valid Statistical Conclusions

  • recognize the value of drawing valid statistical conclusions.
  • match descriptive statistics, inferential statistics, and process thinking to examples.
  • identify the categories used to organize data for data stratification.
  • match examples of the steps for creating a measurement assessment tree.
  • differentiate between examples of continuous and discrete data.
  • select an appropriate conversion of a continuous measure into a discrete measure in a given workplace scenario.
  • determine the population parameter for a given data set.

    • The Central Limit Theorem, Confidence Intervals, and Probability

  • recognize the benefit of understanding the central limit theorem, confidence intervals, and the uses of probability.
  • recognize examples of the steps for using the Central Limit Theorem in a given scenario.
  • determine the confidence interval for a given data set.
  • use rules of probability to solve a hypothetical workplace scenario.

    • Course Number: OPER0192