Scientists conducted an experiment to test the effects of three different diets
ID: 2905841 • Letter: S
Question
Scientists conducted an experiment to test the effects of three different diets in chickens. They randomly assigned six chickens to each of the diet groups and fed them for a fixed period of time. The result is shown in the following table.
Group
Weight Gain (pounds)
Control Diet
3.6
4.1
3.3
3.6
3.8
3.1
Diet Program A
5.2
4.7
5.2
6.8
4.5
4.4
Diet Program B
9.3
9.5
9.1
9.8
9.7
9.7
Assuming that the three groups were comparable with respect to initial weights of the chickens, at 5% level of significance, test to see if there is significant difference in average weight-gained between the three groups.
If there are significant differences among groups, please identify the differences using Tukey’s multiple comparison method.
Group
Weight Gain (pounds)
Control Diet
3.6
4.1
3.3
3.6
3.8
3.1
Diet Program A
5.2
4.7
5.2
6.8
4.5
4.4
Diet Program B
9.3
9.5
9.1
9.8
9.7
9.7
Explanation / Answer
The Control Diet program is in totality = 3.6+4.1+3.3+3.6+3.8+3.1 = 21.5
The Diet Program A is in totality = 5.2+4.7+5.2+6.8+4.5+4.4 = 30.8
The Diet Program B is in totality = 9.3+9.5+9.1+9.8+9.7+9.7 = 57.1
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