Final answer:
A change in the assumption about the population variance can have a significant impact on the analysis.
Step-by-step explanation:
When the assumption about the population variance changes, it can have a significant impact on the analysis.
For example, if the assumption about the population variance is known and it changes, it can affect the confidence intervals and hypothesis tests.
On the other hand, if the assumption about the population variance is unknown and it changes, it can also have an impact on the results of the analysis.