an experiment designed to test the output levels of three different treatments, the following results were obtained: SST 380, SSTR 150, ny 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decin Source of Variation Treatments Error Total Sum Degrees Mean of Squares of Freedom Square O Ho: At least two of the population means are equal. H: At least two of the population means are different. st for any significant difference between the mean output levels of the three treatments. Use a = 0.05. ate the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂H₁ H₂ H3 O Hoi H₁ H₂ H3 H₂H₁ H₂ H3 Hoi H₁ H₂ H3 H₂H₁ H₂ H3 F Hoi H₁ H₂ H3 Ha: Not all the population means are equal. nd the value of the test statistic. (Round your answer to two decimal places.) nd the p-value. (Round your answer to four decimal places.) walue= p-value ate your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

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
In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 380, SSTR = 150, n₁ = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source
Sum
Degrees
Mean
of Variation of Squares of Freedom Square
Treatments
Error
Total
O Ho: At least two of the population means are equal.
H₂: At least two of the population means are different.
Test for any significant difference between the mean output levels of the three treatments. Use α = 0.05.
State the null and alternative hypotheses.
O Ho: Not all the population means are equal.
H₂: M₁ = M₂ = μ3
о но: H1 =H2= из
Ha: M₁ M₂ M3
о но: M1 # M2 # M3
На: M1 = M2 = Из
F
O Ho: M₁ = M₂ = μ3
Ha: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
p-value
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Transcribed Image Text:In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 380, SSTR = 150, n₁ = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square Treatments Error Total O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Test for any significant difference between the mean output levels of the three treatments. Use α = 0.05. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂: M₁ = M₂ = μ3 о но: H1 =H2= из Ha: M₁ M₂ M3 о но: M1 # M2 # M3 На: M1 = M2 = Из F O Ho: M₁ = M₂ = μ3 Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = p-value State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 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