The following statistics are calculated by sampling from fournormal populations whose variances are equal: (You may find ituseful to reference the t table and the q table.)
x¯1 = 169, n1 = 5; x¯2 = 179, n2 = 5; x¯3 = 172, n3 = 5; x¯4 =162, n4 = 5; MSE = 55.8
a. Use Fisher’s LSD method to determine which population meansdiffer at α = 0.05. (Negative values should be indicated by a minussign. Round intermediate calculations to at least 4 decimal places.Round your answers to 2 decimal places.)
Population Mean DifferencesConfidence IntervalCan we concludethat the population means differ?μ1 − μ2[,]μ1 − μ3[,]μ1 − μ4[,]μ2 −μ3[,]μ2 − μ4[,]μ3 − μ4[,]
b. Use Tukey’s HSD method to determine which population meansdiffer at α = 0.05. (If the exact value for nT – c is not found inthe table, then round down. Negative values should be indicated bya minus sign. Round intermediate calculations to at least 4 decimalplaces. Round your answers to 2 decimal places.)
Population Mean DifferencesConfidence IntervalCan we concludethat the population means differ?μ1 − μ2[,]μ1 − μ3[,]μ1 − μ4[,]μ2 −μ3[,]μ2 − μ4[,]μ3 − μ4[,]
