I want to perform a power analysis for a 2 sample t-test for the difference in means. However, instead of computing the required sample size, I would like to compute the required difference in the means given the sample size.
The sample size is fixed at $n=34$ (i.e. 17 per group). Due to different reasons, it is not possible to increase the sample size. Therefore, I was asked to perform a power analysis to determine the required difference in means. The investigator wants to determine if it would be worthwhile to even do the study or if the required difference is just too big and unrealistic to achieve.
For a given type I error and power I can compute the required effect size. If I further assume the standard deviations in both groups (from prior studies) I can easily compute the required difference. However, I'm wondering if this is reasonable or whether there are problems that I'm missing with this approach.