Homework Help is Here – Start Your Trial Now!
Math
Statistics
The following data summarize the results from an independent measures study comparing three treatment conditions. I II III   5 3 6                 3 3 8   1 7 5   1 4 2   5 3 4   T =15 T =20 T = 25 G = 60 SS =16 SS =12 SS =20 ΣX2 = 298 Use an ANOVA with α = .01 to determine whether there are any significant differences among the three treatment means The null hypothesis in symbols  is: H0: μ1 ≠ μ2≠ μ3 H0: μ1 = μ2 = μ3 H0: M1 = M2 = M3 H0: M1 ≠ M2≠ M3 H0: μ1> μ2> μ3 H0: μ1 ≤ μ2≤ μ3 The alternative hypothesis is: There are no significant differences among the three treatment means All pairs of means are significantly different from each other There is at least one significant mean difference: At least two means significantly differ from each other H1: μ1 ≠ μ2≠ μ3   The Critical F-value is:   The F-statistic is:   Your decision is: Reject the null hypothesis and conclude that there are no significant mean differences among the treatments Reject the null hypothesis and conclude that there are significant mean differences among the treatments Fail to reject the null hypothesis and conclude that there are no significant mean differences among the treatments Fail to reject the null hypothesis and conclude that there are significant mean differences among the treatments

The following data summarize the results from an independent measures study comparing three treatment conditions. I II III   5 3 6                 3 3 8   1 7 5   1 4 2   5 3 4   T =15 T =20 T = 25 G = 60 SS =16 SS =12 SS =20 ΣX2 = 298 Use an ANOVA with α = .01 to determine whether there are any significant differences among the three treatment means The null hypothesis in symbols  is: H0: μ1 ≠ μ2≠ μ3 H0: μ1 = μ2 = μ3 H0: M1 = M2 = M3 H0: M1 ≠ M2≠ M3 H0: μ1> μ2> μ3 H0: μ1 ≤ μ2≤ μ3 The alternative hypothesis is: There are no significant differences among the three treatment means All pairs of means are significantly different from each other There is at least one significant mean difference: At least two means significantly differ from each other H1: μ1 ≠ μ2≠ μ3   The Critical F-value is:   The F-statistic is:   Your decision is: Reject the null hypothesis and conclude that there are no significant mean differences among the treatments Reject the null hypothesis and conclude that there are significant mean differences among the treatments Fail to reject the null hypothesis and conclude that there are no significant mean differences among the treatments Fail to reject the null hypothesis and conclude that there are significant mean differences among the treatments

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

The following data summarize the results from an independent measures study comparing three treatment conditions.

I

II

III

 

5

3

6              

 

3

3

8

 

1

7

5

 

1

4

2

 

5

3

4

 

T =15

T =20

T = 25

G = 60

SS =16

SS =12

SS =20

ΣX2 = 298

Use an ANOVA with α = .01 to determine whether there are any significant differences among the three treatment means

The null hypothesis in symbols  is:

H0: μ1 ≠ μ2≠ μ3
H0: μ1 = μ2 = μ3
H0: M1 = M2 = M3
H0: M1 ≠ M2≠ M3
H0: μ1> μ2> μ3
H0: μ1 ≤ μ2≤ μ3

The alternative hypothesis is:

There are no significant differences among the three treatment means
All pairs of means are significantly different from each other
There is at least one significant mean difference:
At least two means significantly differ from each other
H1: μ1 ≠ μ2≠ μ3
 
The Critical F-value is:
 
The F-statistic is:
 

Your decision is:

Reject the null hypothesis and conclude that there are no significant mean differences among the treatments
Reject the null hypothesis and conclude that there are significant mean differences among the treatments
Fail to reject the null hypothesis and conclude that there are no significant mean differences among the treatments
Fail to reject the null hypothesis and conclude that there are significant mean differences among the treatments
 
 
 
 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Anova and Design of Experiments
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
SEE MORE TEXTBOOKS