Question

The sample standard deviations are $23.6$ and $59.2$.

Short answer

A non-pooled $t$ test should be utilised.

Step-by-step solution

Given Information

The population standard deviations are $23.6$ and $59.2$.

Explanation

The selected sample should be a simple random sample from two populations, according to the assumptions of the pooling $t$test.

• Each sample is separate from the others.
• The population is in the middle of the range.
• The standard deviations of the population are all the same.

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

• Each sample is distinct from the others.
• The population is average.
• There is a significant sample size.

The two standard deviation values are not identical in the current circumstance.

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