The following statistics are computed by sampling from three normal populations whose variances are equal:

x1 = 25.3, n1 = 8; x2 = 31.5, n2 = 10; x3 = 32.3, n3 = 6;

MSE = 27.2

a. Calculate 95% confidence intervals for μ1 − μ2, μ1 − μ3, and μ2 − μ3 using Fisher's LSD approach.

b. Repeat the analysis with Tukey's HSD approach.

c. Which of these two approaches would you use to determine whether differences exist between the population means? Explain.