EIP - Normal Distribution - Week 6 Flashcards

1
Q

Are normal distributions symmetrical?

A

Yes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

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

A

They become wider

How well did you know this?
1
Not at all
2
3
4
5
Perfectly