If k = 2 and tobt = 2.95, what would the value of Fobt be for an independent groups design?

The question seems to be incomplete. In order to calculate the Fobt (observed F statistic) for an independent groups design, we need more information than just k (the number of groups) and tobt (observed t statistic).

The formula for Fobt in an independent groups design is:

Fobt = tobt^2

However, this is only applicable when comparing two groups (k=2) and when the variances of the two groups are assumed to be equal.

Given that k=2 and tobt=2.95, we can substitute these values into the formula:

Fobt = (2.95)^2 = 8.7025

So, the Fobt value would be approximately 8.70. However, please note that this is a simplified calculation and actual statistical analysis may require additional information and assumptions.