An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average 62 5.1667 46 3.5385 56 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
An experiment to evaluate the effectiveness of the type of snack and children's
perception of satiation was designed so that subjects aged 10 to 13 years were
randomly assigned a snack that was of the exact same ingredients but described
differently. The first group had their snack described as healthy and full of vitamins,
the second group had their snack described as tasty, the third group were given a
snack without any description whatsoever. Thirty minutes after finishing the snack,
subjects were asked to rate their hunger on a scale of 1 to 10.
The results are summarized in the table:
ANOVA: Single Factor
SUMMARY
Groups
Healthy
Tasty
No Description
ANOVA
Source of Variation
Between Groups
Within Groups
Total
Count
12
13
14
SS
17.46154
62.89744
80.35897
Sum Average
62
5.1667
46
3.5385
56 4.0000
Variance
1.9697
1.9359
1.3846
df MS
F
P-value
2 8.730769 4.997146 0.012156
36 1.747151
38
Is it reasonable to use the assumption of equal standard deviations when we analyze
these data? Briefly explain your answer.
Transcribed Image Text:An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13 14 SS 17.46154 62.89744 80.35897 Sum Average 62 5.1667 46 3.5385 56 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Briefly explain your answer.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman