Formulas to memorise

Under construction¹

other stuff:

• expected value, variance, and covariance definitions and manipulation rules
• that table on the inside cover of the textbook (from 323)
• shit from order statistics

1Normal distribution¶

1.1Unknown variance¶

This also works for any population with $n \geq 25$. To test: the mean.

1.2Unknown mean and variance¶

To test: the mean, or the variance.

1.3Unknown means¶

Two normal distributions, don't know the mean of either. To test: the variances.

1.4Unknown but equal variances¶

Two normal distributions, don't know their variances, but we assume they are equal. To test: the difference between their means.

1.5Known variances¶

Two normal distributions (or any populations with $n \geq 25$, we know their variances. To test: the difference between their means.

2Binomial distribution¶

2.1One distribution¶

Given a large sample ($n \geq 25$), we want to test $p$.

2.2Multiple distributions¶

Given two distributions, both of which have $n \geq 25$, we want to test the difference between their $p$-values.

3Summary table¶

All of the information above, presented in a nice table format.²

(Later)