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In: Statistics and Probability

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

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 μ1μ2, μ1μ3, and μ2μ3 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 nTc 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.)

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