An experiment was conducted to investigate the heat loss for five different designs for...

An experiment was conducted to investigate the heat loss for five different designs for commercial thermal panes. The researcher in order to obtain results that would be applicable throughout most regions of the country decided to evaluate the panes at five temperatures, 0°F, 20°F, 40°F, 60°F, and 80°F. A sample of 10 panes of each design was obtained. Two panes of each design were randomly assigned to each of the five exterior temperature settings. The interior temperature of the test was controlled at 70°F for all five exterior temperatures. The heat losses associated with the five pane designs are given here.

a. Identify the experimental design and write an appropriate statistical model.

b. Is there a significant difference in the mean heat loss of the five pane designs? Use α = .05. An AOV table for the data is given here.

c. Are the differences in the five designs consistent across the five temperatures? Use α = .05 and a profile plot in reaching your conclusion.

d. Use Tukey’s W procedure at an α = .05 level to compare the mean heat loss for the five pane designs.