Question

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

SUMMARY
Groups	Count				Average
Column 1	10				349
Column 2	10				348
Column 3	10				366
Column 4	10				365
Source of Variation	SS		df	MS	F	p-value
Between Groups	2,997.11		3	999.04	15.54	1.2E–06
Within Groups	2,314.71		36	64.30
Total	5,311.82		39

a. Use Fisher’s LSD method to determine which means differ at the 5% level of significance. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and Round your answers to 2 decimal places.)

b. Use Tukey’s HSD method to determine which means differ at the 5% level of significance. (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.)

c. Given your responses to parts (a) and (b), do the population means differ at the 5% significance level?

Answer 1