Question

The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the q table.)

Hybrid 1: x⎯⎯1x¯1 = 30, n₁ = 20
Hybrid 2: x⎯⎯2x¯2 = 43, n₂ = 15
Hybrid 3: x⎯⎯3x¯3 = 30, n₃ = 18

Source of Variation	SS		df	MS	F	p-value
Between Groups	1,149.92		2	574.96	21.59	0.0000
Within Groups	1,331.63		50	26.63
Total	2,481.55		52

b. Use Tukey’s HSD method at the 1% significance level to determine confidence intervals for the population mean differences and state which individual pairs of hybrids’ means differ. (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.)

Answer 1