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. If the sample variance is s2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
b. If the sample variance is s2 = 64, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
c. Describe how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.