To evaluate the effect of a treatment, a sample of n = 6 is obtained from a population with a mean of µ = 80, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72.
A. If the sample variance is s2 = 54, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05?
B. If the sample variance is s2 = 150, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05?
C.Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?