2. To evaluate the effect of a treatment, a sample is obtained from a population with a mean of = 30 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be X = 31.3 with a standard deviation of = 3. (a) If the sample consists of N = 16 individuals, are the data sufficient to conclude that the treatment results in a significant increase? (b) If the sample consists of N = 36 individuals, are the data sufficient to conclude that the treatment results in a significant increase? (c) Comparing your answers for parts (a) and (b), how does the size of the sample influence the outcome of a hypothesis test?