h solving the AN

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Question
100%
Please help finish solving the ANOVA summary table at the bottom. Please show work to find the MS: between, within, and total; and then the SS: between, within, and total.
Name
One-Way ANOVA
1. You are testing the effectiveness of three pain medications- A, B, and C- and
also using a placebo control. People are randomly assigned to each group -A, B,
C, and placebo. There are three people in each group. Pain is assessed by
measuring how long (in seconds) a person can withstand a hot stimulus before
stopping it (it is controlled by a button). NOTE: When considering the number
of groups in this experiment, don't forget to include the placecbo group.
N=12
What is the null hypothesis in symbols?
a.
He: M,= M2= M3= My
What is the alternative hypothesis in words?
b.
H, : H,7 MzZ Muz+ My
What is the dfivetween?
4-1=3
d. What is the dfwithin?
12-4-4
e. Using your answers to c. and d., find the critical value of F in the F table.
Use an alpha level of .05.
4.07
f. You lab assistant runs the experiment, and then gives you an ANOVA
summary table. However, she spilled her coffee on it and now some of the
numbers cannot be read. Use your knowledge of the ANOVA procedure
to complete the table. YOU DO NOT NEED TO USE ANY COMPLEX
FORMULAS.
HINT: Fill in the df spaces 1st and work from there.
SECOND HINT: Look at the MS formulas.
SOURCE
SS
df
MS
F=4.07
Between
18
Within
Total
70
Transcribed Image Text:Name One-Way ANOVA 1. You are testing the effectiveness of three pain medications- A, B, and C- and also using a placebo control. People are randomly assigned to each group -A, B, C, and placebo. There are three people in each group. Pain is assessed by measuring how long (in seconds) a person can withstand a hot stimulus before stopping it (it is controlled by a button). NOTE: When considering the number of groups in this experiment, don't forget to include the placecbo group. N=12 What is the null hypothesis in symbols? a. He: M,= M2= M3= My What is the alternative hypothesis in words? b. H, : H,7 MzZ Muz+ My What is the dfivetween? 4-1=3 d. What is the dfwithin? 12-4-4 e. Using your answers to c. and d., find the critical value of F in the F table. Use an alpha level of .05. 4.07 f. You lab assistant runs the experiment, and then gives you an ANOVA summary table. However, she spilled her coffee on it and now some of the numbers cannot be read. Use your knowledge of the ANOVA procedure to complete the table. YOU DO NOT NEED TO USE ANY COMPLEX FORMULAS. HINT: Fill in the df spaces 1st and work from there. SECOND HINT: Look at the MS formulas. SOURCE SS df MS F=4.07 Between 18 Within Total 70
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax