Question

Hypothesis Test: Difference Between Means

Sample A: 20 Observations

Sample B: 43 Observations

My question is: Can I run an hypothesis test for the difference between means with a small sample(20) and a large sample(43)? If so, what are the steps?

PS: I usually deal with exercises where the two samples have equal amount of observations.

Answer 1

We can run hypothesis test of difference between two

means with a small sample and a large sample i.e. with

two samples of varying sample sizes.

The test-statistic for testing equality of two sample means

assuming the standard deviations if the two samples are

not same is given by, T = , where and are

two different sample sizes for population 1 and population

2 respectively.