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A study of the difference of six newly created diets on weight gain of young rabbits is proposed. Because weight varies considerably amongst young rabbits, it is proposed to block the experiment based on litters. There are 10 litters of rabbits available for the study but they are varying sizes. Therefore, only three of the six diets can be observed in any particular litter. A balanced incomplete block design was proposed for this situation. The researcher conducted the study and obtained the following weight gains. litter Diet 1 2 3 4 5 6 b) 7 8 9 10 1 40.1 44.9 45.2 44 37.3 2 32.6 38.1 37.3 40.6 30.6 3 35.2 40.9 34.6 43.9 40.9 4 37.5 33.7 37.9 27.5 42.3 5 - 40.8 32 40.5 35.8 20.6 6 42.2 34.3 48.2 51.9 41.7 a) Does the data provide sufficient evidence that there's significant difference in mean weight gain amongst the six diets? Perform pairwise comparisons using LSD procedure if necessary.

A study of the difference of six newly created diets on weight gain of young rabbits is proposed. Because weight varies considerably amongst young rabbits, it is proposed to block the experiment based on litters. There are 10 litters of rabbits available for the study but they are varying sizes. Therefore, only three of the six diets can be observed in any particular litter. A balanced incomplete block design was proposed for this situation. The researcher conducted the study and obtained the following weight gains. litter Diet 1 2 3 4 5 6 b) 7 8 9 10 1 40.1 44.9 45.2 44 37.3 2 32.6 38.1 37.3 40.6 30.6 3 35.2 40.9 34.6 43.9 40.9 4 37.5 33.7 37.9 27.5 42.3 5 - 40.8 32 40.5 35.8 20.6 6 42.2 34.3 48.2 51.9 41.7 a) Does the data provide sufficient evidence that there's significant difference in mean weight gain amongst the six diets? Perform pairwise comparisons using LSD procedure if necessary.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A study of the difference of six newly created diets on weight gain of young rabbits is proposed. Because weight varies considerably amongst young rabbits, it is proposed to block the experiment based on litters. There are 10 litters of rabbits available for the study but they are varying sizes. Therefore, only three of the six diets can be observed in any particular litter. A balanced incomplete block design was proposed for this situation. The researcher conducted the study and obtained the following weight gains. litter Diet a) b) 1 2 3 4 5 6 7 8 9 10 1 40.1 44.9 45.2 44 37.3 2 32.6 38.1 37.3 40.6 30.6 - 3 35.2 40.9 34.6 43.9 40.9 4 - 37.5 33.7 37.9 27.5 42.3 5 40.8 32 40.5 35.8 20.6 6 42.2 34.3 - 48.2 51.9 41.7 Does the data provide sufficient evidence that there's significant difference in mean weight gain amongst the six diets? Perform pairwise comparisons using LSD procedure if necessary.
Transcribed Image Text:A study of the difference of six newly created diets on weight gain of young rabbits is proposed. Because weight varies considerably amongst young rabbits, it is proposed to block the experiment based on litters. There are 10 litters of rabbits available for the study but they are varying sizes. Therefore, only three of the six diets can be observed in any particular litter. A balanced incomplete block design was proposed for this situation. The researcher conducted the study and obtained the following weight gains. litter Diet a) b) 1 2 3 4 5 6 7 8 9 10 1 40.1 44.9 45.2 44 37.3 2 32.6 38.1 37.3 40.6 30.6 - 3 35.2 40.9 34.6 43.9 40.9 4 - 37.5 33.7 37.9 27.5 42.3 5 40.8 32 40.5 35.8 20.6 6 42.2 34.3 - 48.2 51.9 41.7 Does the data provide sufficient evidence that there's significant difference in mean weight gain amongst the six diets? Perform pairwise comparisons using LSD procedure if necessary.
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