A Sample of N = 16 Individuals Is Selected from a Population

Essay

A sample of n = 16 individuals is selected from a population with µ = 30.After a treatment is administered to the individuals,the sample mean is found to be M = 33.
a.Assume the sample variance is s² = 16, then conduct a hypothesis test to evaluate the
significance of the treatment effect and calculate r² to measure the size of the
treatment effect.Use a two-tailed test with α = .05.
b.Assume the sample variance is s² = 64, then conduct a hypothesis test to evaluate the
significance of the treatment effect and calculate r² to measure the size of the
treatment effect.Use a two-tailed test with α = .05.
c.Describe how increasing variance affects the likelihood of rejecting the
null hypothesis and the measure of effect size.