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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

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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

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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