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Ch.4 + 5 - Statistics, Quality Assurance and Calibration MethodsWorksheetSee all chapters

# The Gaussian Distribution

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Sections
Mean Evaluation
The Gaussian Distribution
Confidence Intervals
Hypothesis Testing (t-Test)
Analysis of Variance (f-Test)
Detection of Gross Errors

Performing an experiment numerous times with no systematic error results in a smooth curve called the Gaussian Distribution.

###### The Gaussian Distribution & Z-Table

Concept #1: Understanding the Gaussian Distribution Curve Example #1: Understanding standard normal distribution

Example #2: Understanding Z-Tables Example #3: The use of Z-Tables is essential in the determination of probabilities. ###### The Gaussian Distribution & Z-Tables Calculations

Example #4: Suppose there are 100 students in your analytical lecture and at the end of the semester the class average is an 80 with a standard deviation of 5.3, determine the distribution and probability of grades based on your understanding of the Gaussian distribution curve. Example #5: From EXAMPLE 1, determine the percentage of final grades that would lie below 71.

Practice: From EXAMPLE 1, determine the percentage of final grades that would lie between 88 to 92.