Solve for the smallest value of the mean for which the power to detect an improvement in cells of the first type is equal to 0.95. Interpret your answer.
The survival time for one type of cell in culture is exponentially distributed with a mean of 200 h. After applying a new treatment, one cell lasts 800 h. For a second type of cell, the survival time is exponentially distributed with a mean of 100 h. After applying the same new treatment, one cell lasts 30 h.