A research stuay was done to compare the mean numper or e by chickens housed at

Question

A research stuay was done to compare the mean numper or e by chickens housed at several different Egg producing companies. Of particular interest was the average number of eggs produced by chickens housed in four distinct types (Caged, Barn, Free-Range, and Organic). The numbers represent the average number of eggs produced by the sampled chickens that were housed in each of the four manners. Statistix was used to create the printouts that you should use to answer my questions One-Way AOV for Eggs by Housing ggs proaucea Source DF SS MS F P Housing 3 191.14 63.7134 2.50 o.0212 Error 46 1172.14 25.4813 Total 49 1363.28 Grand Mean 49.880 CV 10.12 Bonferroni All-Pairwise Comparisons Test of Eggs by Housing Housing Mean Homogeneous Groups Organic 256.000 A Free-Range 251.067 A B Barn 249.571 A B Caged 228.111 Alpha Which of the following conclusions can you make when conduction the test of hypothesis at alpha = .05? 0.06 F4 FS F7

Explanation / Answer

Since P-value for Housing = 0.0212 < 0.05, so at 5% level of signficance we reject H0 i.e. all means due to four different housing types are same, at 5% level of signficance.

From bonferroni test as well, it can be seen that two means are homogeneous.

Hence,

Conclusion:

There is sufficient evidence to indicate that at least two of the mean number of eggs produced differ for the four different housing types.

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