Question: A sample of n=16 individuals is selected from a population with a mean of µ=78. A treatment is administered to the individuals in the sample and , after treatment, the sample variance is found to be s² = \(144\).

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 α=.05?

b. If the treatment has an 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 α=.05?