**For Whom Intended ** An understanding of Statistics is required in the implementation of uncertainty calculations in Metrology such as: statistical and probability concepts in measurements, confidence levels and control charts etc.

**Brief Course Description** This TTi course covers all the usual topics in reliability and statistics and explains how the theory is applied in engineering.

In the study of basic statistics, students encounter equations which are not "user friendly." The volume of statistical formulas and the "number-crunching" has made the true learning and application of statistics difficult for most people. In this course the actual evaluation of statistical formulas is done using programmable calculators such as the TI-82 and TI-83, which simplify the process and save hours of tedious work. When the course is conducted at TTi's headquarters, class exercises in the TTi computer lab teach the use of Microsoft Excel for statistical work. This enables the student to devote more time to the overall understanding of basic statistics and applying the concepts learned.

**Diploma Programs **This course may be used as an optional course for any TTi specialist diploma program.

**Related Courses **A one-day version of this course is included in the four-day course 132-4, Measurement Uncertainty.

**Prerequisites **There are no definite prerequisites for this course. However, prior completion of TTi Distance Learning course 103-2 "Applied Mathematics" would be helpful.

**Text **Each student will receive access to the on-line electronic course workbook, including most of the slides used in the course presentation. An initial subscription is included in the price of the course and renewals are available for an additional fee.

**Course Hours, Certificate and CEUs **Open courses meet seven hours per day. Upcoming presentation dates can be found on our current open course schedule. Class hours/days for on-site courses can vary from 14-35 hours over 2-5 days as requested by our clients. Upon successful course completion, each participant receives a certificate of completion and one Continuing Education Unit (CEU) for every ten class hours.

Click for a printable course outline (pdf).

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OnDemand Short Topics | $50.00 |

- Definitions
- Populations
- Data Groups, Variables
- Class Intervals
- Frequency Distribution
- Continuous Distributions
- Continuous Distributions Histogram
- Equal Class Size
- Unequal Class Size

- Frequency Curves
- Cumulative Frequency Curve or Ogive

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- Central Tendency
- Arithmetic Mean
- Median and Mode
- Frequency Distributions

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- Dispersion: Mean Deviation
- Mean Deviation Example
- Variance
- Variance: Example
- Standard Deviation

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- Raw Data
- Classes
- Exact Class Limits
- Frequency Distribution Graph
- Cumulative Frequency Distribution (cf)
- Arithmetic Mean for Grouped Data
- Median for Grouped Data Set
- Sample Standard Deviation of Grouped Data Set

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OnDemand Short Topics | $100.00 |

- Probability Exercise
- Random Data (Tossing Coins)
- Expressing Probability
- Venn Diagram
- Rules of Addition
- Theory of Intersection
- Rules of Multiplication
- Bayes Theorem
- Hypothesis
- Test
- Null Hypothesis (H0)
- Critical Region
- Test Statistic
- Level of Significance

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OnDemand Short Topics | $50.00 |

- Binomial Experiment
- Binomial Population
- Variables
- Continuous Distribution
- Continuous Probability Distribution
- Normal Distribution
- Standard Normal Distribution
- Gaussian (s-Normal) Distribution
- One-Tailed Test
- Two-Tailed Test
- Type I and II Errors
- Statistical Significance
- Confidence Intervals
- Confidence Levels
- Computing the Standard Deviation-Example

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OnDemand Short Topics | $50.00 |

- Chi-Square (χ2) Distribution
- Binomial Distribution
- Binomial Distribution Graph
- Poisson Distribution
- Student's t-Distribution
- Table: t-Distribution
- F-Distribution
- Table: Critical Values for the F-test

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OnDemand Short Topics | $100.00 |

- Goodness-of-Fit Tests
- Correlation
- Scatter Diagram
- Regression Analysis
- Regression
- Method of Least Squares
- Linear Regression

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OnDemand Short Topics | $25.00 |