A pig grower wants to test three different diets designed to maximize weight gain. The grower randomly selects 9 pigs and divides them randomly into three groups, with 3 pigs in each group. Each group is given one of the diets. The weight gains, in pounds, after a three-week period are shown below: A В 10.5 11.5 9.8 10.9 10.9 10.5 10.7 11.8 10.4 At a = 0.01, is there a significant difference in the mean weight gains of the pigs in each diet? Source Degree Sum of Mean F -test of of Squares Square Statistic Variation Freedom Between 2.07 6.48 Within 6. 0.79 0.35 7.885 Total 2.86 Based on the problem, what is the conclusion?

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A pig grower wants to test three different diets designed to maximize weight gain. The grower randomly selects 9 pigs
and divides them randomly into three groups, with 3 pigs in each group. Each group is given one of the diets. The
weight gains, in pounds, after a three-week period are shown below:
A
В
10.5
11.5
9.8
10.9
10.9
10.5
10.7
11.8
10.4
At a = 0.01, is there a significant difference in the mean weight gains of the pigs in each diet?
Source
Degree
Sum of
Мean
F -test
of
of
Squares Square
Statistic
Variation Freedom
Between
2
2.07
6.48
Within
6.
0.79
0.35
7.885
Total
8
2.86
Based on the problem, what is the conclusion?
Transcribed Image Text:A pig grower wants to test three different diets designed to maximize weight gain. The grower randomly selects 9 pigs and divides them randomly into three groups, with 3 pigs in each group. Each group is given one of the diets. The weight gains, in pounds, after a three-week period are shown below: A В 10.5 11.5 9.8 10.9 10.9 10.5 10.7 11.8 10.4 At a = 0.01, is there a significant difference in the mean weight gains of the pigs in each diet? Source Degree Sum of Мean F -test of of Squares Square Statistic Variation Freedom Between 2 2.07 6.48 Within 6. 0.79 0.35 7.885 Total 8 2.86 Based on the problem, what is the conclusion?
Based on the problem, what is the conclusion?
Select the correct response:
There is a significant difference in the mean weights of the pigs which means Diet A is better than the other
diets.
There is no significant difference in the mean weights of the pigs which means the pigs will gain weight
regardless of the type of diet.
There is no significant difference in the mean weights of the pigs which means that the pigs will lose weight
on depending on the type of diet.
There is a significant difference in the mean weights of the pigs which means that one of the diets differ from
the others.
Transcribed Image Text:Based on the problem, what is the conclusion? Select the correct response: There is a significant difference in the mean weights of the pigs which means Diet A is better than the other diets. There is no significant difference in the mean weights of the pigs which means the pigs will gain weight regardless of the type of diet. There is no significant difference in the mean weights of the pigs which means that the pigs will lose weight on depending on the type of diet. There is a significant difference in the mean weights of the pigs which means that one of the diets differ from the others.
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