Question

if you have samples of 23 observations and 11 observations, how many degrees of freedom do you have when running a pooled variance t-test

Answer 1

When running a pooled variance t-test, you need to calculate the degrees of freedom for both sample sets and then use them to determine the total degrees of freedom.

The degrees of freedom for each sample set can be calculated as follows:

For the first sample with 23 observations: df1 = n1 - 1 = 23 - 1 = 22 degrees of freedom.

For the second sample with 11 observations: df2 = n2 - 1 = 11 - 1 = 10 degrees of freedom.

To find the total degrees of freedom when using a pooled variance t-test, you sum the degrees of freedom from both sample sets:

Total degrees of freedom (df) = df1 + df2 = 22 + 10 = 32 degrees of freedom.

So, when conducting a pooled variance t-test with samples of 23 observations and 11 observations, you have a total of 32 degrees of freedom.