An investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms.

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An investigation is performed to evaluate two new
experimental treatments for allergies. 18 subjects
who suffer from allergies are enrolled in the study and
randomly assigned to one of three treatments:
Control Group, Experimental Treatment 1, or
Experimental Treatment 2. Each subject is instructed
to take the assigned treatment, and symptoms of
allergies are recorded on a scale of 1 to 20, with higher
scores indicating worse symptoms.
The data is summarized in the table below:
SBP
Std.
Deviation
Group
N
Mean
Control Treatment
16.17
2.483
Experimental Treatment
1
11.33
1.966
Experimental Treatment
3.83
1.472
Total
18
10.44
5.554
Use this data to complete an ANOVA table to test for a
significant difference in the means of each of the 3
groups. Round all answers to the third decimal point.
A partial ANOVA is supplied below for validation:
Sum of Square degrees of freedom Mean Squares
F
Between Groups
56.981
Within Groups
Total
524.444
17
Transcribed Image Text:An investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms. The data is summarized in the table below: SBP Std. Deviation Group N Mean Control Treatment 16.17 2.483 Experimental Treatment 1 11.33 1.966 Experimental Treatment 3.83 1.472 Total 18 10.44 5.554 Use this data to complete an ANOVA table to test for a significant difference in the means of each of the 3 groups. Round all answers to the third decimal point. A partial ANOVA is supplied below for validation: Sum of Square degrees of freedom Mean Squares F Between Groups 56.981 Within Groups Total 524.444 17
Select the correct completed ANOVA table below.
Sum of Square degrees of freedom Mean Squares
F
Between Groups
61
15
4.067
0.018
Within Groups
463.444
2
231.722
Total
524.444
17
Sum of Square degrees of freedom Mean Squares
F
Between Groups
463.444
2
231.722
56.981
Within Groups
61.000
15
4.067
Total
524.444
17
None of these choices are correct.
Sum of Square degrees of freedom Mean Squares
F
Between Groups
61.000
2
30.500
0.987
Within Groups
463.444
15
30.896
Total
524.444
17
Transcribed Image Text:Select the correct completed ANOVA table below. Sum of Square degrees of freedom Mean Squares F Between Groups 61 15 4.067 0.018 Within Groups 463.444 2 231.722 Total 524.444 17 Sum of Square degrees of freedom Mean Squares F Between Groups 463.444 2 231.722 56.981 Within Groups 61.000 15 4.067 Total 524.444 17 None of these choices are correct. Sum of Square degrees of freedom Mean Squares F Between Groups 61.000 2 30.500 0.987 Within Groups 463.444 15 30.896 Total 524.444 17
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