**Unit 7**

Topics:

**Introduction to Normal Distributions **link:Introduction to Normal

- Learning Objectives

- Describe the shape of normal distributions
- State 7 features of normal distributions

**History of the Normal Distribution **link:History Normal

- Learning Objectives

- Name the person who discovered the normal distribution and state the problem he applied it to
- State the relationship between the normal and binomial distributions
- State who related the normal distribution to errors
- Describe briefly the central limit theorem
- State who was the first to prove the central limit theorem

**Areas Under Normal Distributions **link:Areas of Normal Distrubution

- Learning Objectives

- State the proportion of a normal distribution within 1 standard deviation of the mean
- State the proportion of a normal distribution that is more than 1.96 standard deviations from the mean
- Use the normal calculator to calculate an area for a given X”
- Use the normal calculator to calculate X for a given area

**Standard Normal Distribution **link:Standard Normal Distribution

- Learning Objectives

- State the mean and standard deviation of the standard normal distribution
- Use a Z table
- Use the normal calculator
- Transform raw data to Z scores

**Normal Approximation to the Binomial **link:Normal Approximation to Binomial

- Learning Objectives

- State the relationship between the normal distribution and the binomial distribution
- Use the normal distribution to approximate the binomial distribution
- State when the approximation is adequate

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