Question

You know that the population standard deviations are not equal.

Short answer

For the current circumstance, a non-pooled $t$ test should be utilised.

Step-by-step solution

Given Information

The standard deviations of the population are not the same.

Explanation

The following are the assumptions of the pooled t-test: - The sample should be a simple random sampling from two populations.

• Each sample is distinct from the others.
• The population is roughly normal.
• Population standard deviations are same.

The non-pooled $t$assumption is that the chosen sample should be a simple random sampling from two populations.

• The samples are unrelated to each other.
• The population is rather normal.
• The sample size is substantial.

The two standard deviations are not equivalent in the present circumstance.

For non-pooled $t$tests, this is the assumption.