Provided below are summary statistics for independent simple

Provided below are summary statistics for independent simple random samples from two populations. Preliminary data analysis indicate that pooled t-interval procedure is reasonable is use of the pooled t-test and pooleed t-internal procedure reasonable or not reaspnable?

Solution

Use of pooled t test and t interval procedure is reasonable.

Reasons:

Both samples are normally distributed

The samples may have equal variance or unequal variance. But t test can be used.

Sample sizes are different.

This cannot be called paired test

Hence t test and t interval procedure is reasonable.