A sample of N = 4 individuals is selected from a normal population with μ = 70 and σ = 10. A treatment is administered in the sample, and after the treatment, the sample mean is found to be = 75. a. On the basis of the sample data, can you conclude that the treatment has a significant effect? Use a two-tailed test with α = .05
b. Suppose that the sample consisted of N = 25 individuals and produced the same mean of = 75. Repeat the hypothesis z-Test at the .05 level of significance.
c. Compare the results from part a and part b. How does the sample size influence the outcome of a z-test?