Refer to the Food Chemistry (Vol. 106, 2008) study of four different types of egg housing systems. Exercise 9.33 (p. 511). Recall that you analyzed the data file and discovered that the mean shell thickness (millimeters) differed for cage, barn, free range, and organic egg housing systems. A multiple comparisons of means was conducted using the Bonferroni method with an experiment-wise error rate of .05. The results are displayed in the SPSS printout below.
a. Locate the confidence interval for (µCAGE - µBARN) on the printout and interpret the result.
b. Locate the confidence interval for (µCAGE - µFREE) ON the printout and interpret the result.
c. Locate the confidence interval for (µCAGE - µORGANIC) on the printout and interpret the result.
d. Locate the confidence interval for (µBARN - µFREE) ON the printout and interpret the result.
e. Locate the confidence interval for (µBARN - µORGANIC) on the printout and interpret the result.
f. Locate the confidence interval for (µFREE - µORGANIC) on the printout and interpret the result.
g. Based on the results, parts a-f, provide a ranking of the housing system means. Include the experiment-wise error rate as a statement of reliability.

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Multiple Comparisons THICKNESS 95% Confidence Interval Mean USEoiference CStod ETorrBound Upper Bound BARN FREE ORGANIC CAGE FREE ORGANIC CAGE BARN ORGANIC CAGE -0786701612 -1250 -1233 -1050 0323 - 0501 -0318 0307 0535 -0335 0123 -0718 -0701 -0323 -0307 -0123 1250 0535 0718 1233 0501 0701 1050 0318 -0770001612000 008 07867 0162000 00167 018021.000 018021.000 -0586701612 BARN 02000 7700 02 00 FREE -0016701802 1000 0183301802 1000 008 -0200001802 1.000 ORGANIC CAGE BARN FREE 0586701612 . The mean difference is significant at the 0.05 level.