The Cost of Lumber, continued The analysis of variance F-test in Exercise 11.17 (and...

The Cost of Lumber, continued The analysis of variance F-test in Exercise 11.17 (and data set EX1117) determined that there was indeed a difference in the average cost of lumber for the four states. The following information from Exercise 11.17 is given in the table:

Use Tukey’s method for paired comparisons to determine which means differ significantly from the others at the α = .01 level.

Reference:

The Cost of Lumber A national home builder wants to compare the prices per 1000 board feet of standard or better grade green Douglas fir framing lumber. He randomly selects five suppliers in each of the four states where the builder is planning to begin construction. The prices are given in the table.

a. What type of experimental design has been used?

b. Construct the analysis of variance table for this data.

c. Do the data provide sufficient evidence to indicate that the average price per 1000 board feet of Douglas fir differs among the four states? Test using α = .05.