In: Statistics and Probability
The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to reference the t table and the q table.)
x−1x−1 = 25.3, n1 = 8; x−2x−2 = 31.5, n2 = 10; x−3x−3 = 32.3, n3 = 6; MSE = 27.2
a. Calculate 95% confidence intervals for μ1 − μ2, μ1 − μ3, and μ2 − μ3 to test for mean differences with Fisher’s LSD approach. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.)
b. Repeat the analysis with Tukey’s HSD approach. (If the exact value for nT – c is not found in the table, then round down. Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.)