Ch.4 + 5 - Statistics, Quality Assurance and Calibration MethodsWorksheetSee all chapters
All Chapters
Ch.1 - Chemical Measurements
Ch.2 - Tools of the Trade
Ch.3 - Experimental Error
Ch.4 + 5 - Statistics, Quality Assurance and Calibration Methods
Ch.6 - Chemical Equilibrium
Ch.7 - Activity and the Systematic Treatment of Equilibrium
Ch.8 - Monoprotic Acid-Base Equilibria
Ch.9 - Polyprotic Acid-Base Equilibria
Ch.10 - Acid-Base Titrations
Ch.11 - EDTA Titrations
Ch.12 - Advanced Topics in Equilibrium
Ch.13 - Fundamentals of Electrochemistry
Ch.14 - Electrodes and Potentiometry
Ch.15 - Redox Titrations
Ch.16 - Electroanalytical Techniques
Ch.17 - Fundamentals of Spectrophotometry
BONUS: Chemical Kinetics
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.