Question

Please help with b and c, thanks!

A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the q table).

SUMMARY
Groups	Count				Average
Column 1	6				0.89
Column 2	6				1.31
Column 3	6				2.35
Source of Variation	SS		df	MS	F	p-value
Between Groups	8.65		2	4.33	16.65	0.0002
Within Groups	3.83		15	0.26
Total	12.48		17

b. Calculate 99% confidence interval estimates of μ₁ − μ_2,μ₁ − μ_3, and μ₂ − μ₃ with Tukey’s HSD approach. (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
μ1 − μ2	[    ]
μ1 − μ3	[    ]
μ2 − μ3	[    ]

c: Given your response to part b, which means significantly differ?

Population Mean Differences	Can we conclude that the pop mean differ?
μ1 − μ2
μ1 − μ3
μ2 − μ3

Answer 1