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What is the normal distribution?
- A family of curves, each defined by the standard deviation and mean (σ+µ)
- The differences are measured as standard deviations
Why do the measures of central tendency all have the same value on the normal distribution?
- It is symmetrical, no matter the parameters, the normal distribution preserves its perfect bell shape
- Different variances make it wider, different means make it shift in their direction
What is the standard normal distribution?
- A type of standard distribution curve with a mean of 0
- Values on this curve are known as z scores
What is suggested by the central limit theorem?
Many naturally occurring variables will tend to fall close to the normal distribution
How might one use a normal distribution curve to find the probability of an eventuality over a specific point?
Draw a vertical line on the curve at the point
Give the equation for converting a normal score into a z score
- This is the same formula for generating standard scores
What are scores to the right and to the left of the z score referred to as?
- P(z) for right
- 1-P(z) for left
How might one find the area between two values?
- Find the score for the highest value given
- Find the score for the lowest value given
- Minus one by the other
- P(z< -.67)=.251
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