Consider that you are designing a study and are told to design the study for a level of significance of 0.01 and a power of 85% for assessing a two-tailed hypothesis with a standard normal distribution. a) Estimate the sample size required to detect an effect size of d =0.5 (Cohen's d provided). b) If the Cohen's d is that is operationally relevant to detect is actually 0.25, how many samples do you need? c) Why does the sample size change as observed in this problem when the Cohen's d changes