Question

The following statistics are calculated by sampling from four normal populations whose variances are equal: (You may find it useful to reference the t table and the q table.) x⎯⎯1 x ¯ 1 = 133, n1 = 3; x⎯⎯2 x ¯ 2 = 145, n2 = 3; x⎯⎯3 x ¯ 3 = 137, n3 = 3; x⎯⎯4 x ¯ 4 = 127, n4 = 3; MSE = 45.9

Use Fisher’s LSD method to determine which population means differ at α = 0.05. (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.)

Population Mean Differences	Confidence Interval					Can we conclude that the population means differ?
μ1 − μ2	[		,		]
μ1 − μ3	[		,		]
μ1 − μ4	[		,		]
μ2 − μ3	[		,		]
μ2 − μ4	[		,		]
μ3 − μ4	[		,		]

Use Tukey’s HSD method to determine which population means differ at α = 0.05. (If the exact value for n_T – 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.)

Population Mean Differences	Confidence Interval					Can we conclude that the population means differ?
μ1 − μ2	[		,		]
μ1 − μ3	[		,		]
μ1 − μ4	[		,		]
μ2 − μ3	[		,		]
μ2 − μ4	[		,		]
μ3 − μ4	[		,		]

Do all population means differ?

No, only some of the population means differ.

Yes, all population means differ.

No, none of the population means differ.

Answer 1