EIP - Normal Distribution - Week 6 Flashcards

1
Q

Are normal distributions symmetrical?

A

Yes

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2
Q

What can a normal distribution be completely described by (2) and why?

A

By its mean - a measure of central tendency

By its standard deviation - a measure of its variability

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3
Q

What is the central limit theorem?

A

If random samples are taken from any distribution, then the distribution of sample means will be normal

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4
Q

What happens when a small sample of the population is taken? What would repeated small sample distributions look like? How does a t-distribution fit in?

A

The sample distribution will not look normal
Repeated small sample distributions may not look like each other
The t-distribution allows you to see whether the difference between repeated small samples is real or due to random variation

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5
Q

What happens to uncertainty in t-distributions the smaller the number of data points? what happens to the tails of the distribution?

A

The smaller the number of data points, the greater the uncertainty and the bigger the tails

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6
Q

What happens to the tails of a distribution with smaller degrees of freedom?

A

They become wider

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