Question: A sample with N = 16 individuals is selected from a population with a mean of \(\mu =78\). A treatment is administered to the individuals in this sample and after treatment, the sample variance is found to the \({{s}^{2}}=144\)

(a) If the treatment has a 4-point effect and produces a sample mean of \(M=82\), is this sufficient to conclude that there is a significant treatment effect using a two-tailed test with \(\alpha =0.05\)

(b) If the treatment has a 8-point effect and produces a sample mean of \(M=86\), is this sufficient to conclude that there is a significant treatment effect using a two-tailed test with \(\alpha =0.05\)