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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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Question

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
6
16.17
2.483
Experimental Treatment
1
11.33
1.966
Experimental Treatment
2
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

In Question 3 above, we reject the null hypothesis
because the F statistic is greater than the F critical
value.
Use the LSD multiple comparison test and indicate
which groups have significantly different means.
Experimental Treatment 1 and Experimental
Treatment 2 have different means.
None of these choices are correct.
Control Treatment and Experimental
Treatment 2 have different means.
Control Treatment and Experimental
Treatment 1 have different means.

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