That professor was wrong or your understanding is.
There are plenty of statistically viable ways to determine differences between groups. Even a simple T-test is usually sufficient.
The difference of means does not have to be more than the range in either group. Standard deviation is what’s important here. You use a test statistic to determine the relative value of the real mean within a confidence interval. It’s whether these intervals overlap that you can determine a significant difference between groups.
I know that the professor was wrong. That was the point of the comment. That a professor in a so called science class could get the math so comically wrong.
Comments
That professor was wrong or your understanding is.
There are plenty of statistically viable ways to determine differences between groups. Even a simple T-test is usually sufficient.
The difference of means does not have to be more than the range in either group. Standard deviation is what’s important here. You use a test statistic to determine the relative value of the real mean within a confidence interval. It’s whether these intervals overlap that you can determine a significant difference between groups.
I know that the professor was wrong. That was the point of the comment. That a professor in a so called science class could get the math so comically wrong.