This problem is designed to help you see the effect of outliers can have on an ANOVA test. Students enrolled in developmental mathematics classes at a community college are encouraged to go to the Math Tutoring Center (MTC) for help with their homework.  Some students schedule their time so that they go once or twice a week to focus on all of their math homework at once.  Some students even start forming study groups and meet at the MTC to work together.  The staff that run the MTC want to know if some classes are using their services more than others.  They collect data from 5 classes and 17 students per class that attend the session at least once in the term.  The dependent variable is the number of days a student visits the MTC during one academic term (about 12-13 weeks). Group 1 Group 2 Group 3 Group 4 Group 5 10 5 11 16 7 12 15 21 14 22 14 13 17 9 12 12 12 20 13 20 4 6 20 9 8 17 19 20 43 17 10 12 9 49 14 15 5 15 13 11 7 7 16 14 8 10 12 12 14 14 23 9 7 14 13 12 10 10 16 9 14 13 17 15 15 7 14 11 9 15 15 15 8 12 15 18 13 6 42 10 20 9 10 17 11 Conduct the one-factor fixed effect ANOVA with the data.  Report the requested sample statistics: 1.) MSbetween=      (report answer accurate to 3 decimal places) F-ratio = ________     (report answer accurate to 3 decimal places) P-value =  _______    (report answer accurate to 4 decimal places)   2.) What is the conclusion about groups, on average, using the MTC to equal amounts (α=0.05)? There is not enough evidence to suggest the averages of daily visits to the MTC are different. The evidence suggests the averages of daily visists to the MTC are not all the same.

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
icon
Concept explainers
Topic Video
Question

This problem is designed to help you see the effect of outliers can have on an ANOVA test.

Students enrolled in developmental mathematics classes at a community college are encouraged to go to the Math Tutoring Center (MTC) for help with their homework.  Some students schedule their time so that they go once or twice a week to focus on all of their math homework at once.  Some students even start forming study groups and meet at the MTC to work together.  The staff that run the MTC want to know if some classes are using their services more than others.  They collect data from 5 classes and 17 students per class that attend the session at least once in the term.  The dependent variable is the number of days a student visits the MTC during one academic term (about 12-13 weeks).

Group 1 Group 2 Group 3 Group 4 Group 5
10 5 11 16 7
12 15 21 14 22
14 13 17 9 12
12 12 20 13 20
4 6 20 9 8
17 19 20 43 17
10 12 9 49 14
15 5 15 13 11
7 7 16 14 8
10 12 12 14 14
23 9 7 14 13
12 10 10 16 9
14 13 17 15 15
7 14 11 9 15
15 15 8 12 15
18 13 6 42 10
20 9 10 17 11



Conduct the one-factor fixed effect ANOVA with the data.  Report the requested sample statistics:

1.)
MSbetween= 
    (report answer accurate to 3 decimal places)
F-ratio = ________
    (report answer accurate to 3 decimal places)
P-value =  _______    (report answer accurate to 4 decimal places)

 

2.)

What is the conclusion about groups, on average, using the MTC to equal amounts (α=0.05)?

  • There is not enough evidence to suggest the averages of daily visits to the MTC are different.
  • The evidence suggests the averages of daily visists to the MTC are not all the same.

 

3.)

For any group with extreme outliers, delete these values and rerun the ANOVA.  Report the requested new sample statistics:
MSbetween= _______
    (report answer accurate to 3 decimal places)
F-ratio = ________
    (report answer accurate to 3 decimal places)
P-value =  _________    (report answer accurate to 4 decimal places)

 

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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