In some disciplines, both the level of significance and the power are taken into consideration in calculating the sample size. Suppose we have the hypotheses: H0: µ < 50, H1: µ > 50 and that based on prior information, the standard deviation is 8.5. If we test at a 5% level of significance and we want a minimum power of 99%, what would be the minimum sample size based on an alternative mean of 52?