Recall that the four housing systems were cage, barn, free range, and organic. In addition to housing system, the researchers also determined the weight class (medium or large) for each sampled egg. The data on whipping capacity (percent overrun) for the 28 sampled eggs are shown in the accompanying table. The researchers want to investigate the effect of both housing system and weight class on the mean whipping capacity of the eggs. In particular, they want to know whether the difference between the mean whipping capacity of medium and large eggs depends on the housing system.
For Information: Refer to the Food Chemistry (Vol. 106, 2008) study EGGS of four different types of egg housing systems, Exercise 9.33.

a. Identify the factors and treatments for this experiment.
b. Use statistical software to conduct an ANOVA on the data. Report the results in an ANOVA table.
c. Is there evidence of interaction between housing system and weight class? Test using α = .05. [Due to an unbalanced design, you will need to analyze the data using the general linear model procedure of your statistical software.] What does this imply, practically?
d. Interpret the main effect test for housing system (using α = .05). What does this imply, practically?
e. Interpret the main effect test for weight class (using α = .05). What does this imply, practically?

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Overrun (%) Housing Cage Free Barn Organic Wtclass 495, 462,488,471, 471 502, 472, 474,492.479 513,510.510 520. 531.521 515, 516, 514 526, 501,508 532,51. 527 530, 544.531 2 L L L