(e) State the null and alternative hypotheses for an analysis of variance F-test. O Ho: One or more pairs of population means differ. H: H1 = М2 = из о но: H1 = H2 = из H₂: One or more pairs of population means differ. о но H2 = H2 = из на: Н1 < на киз о ної на

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
PLEASE ONLY SOLVE LAST 3 sub parts
These data are observations collected using a completely randomized design.
Sample 1
Sample 2
Sample 3
4
4
2
3
4
5
3
2
2
6
(a) Calculate CM and Total SS. (Round your answer for CM to six decimal places and your Total SS to four decimal places.)
CM =
Total SS =
(b) Calculate SST and MST. (Round your answers to four decimal places.)
SST =
MST=
(c) Calculate SSE and MSE. (Round your answers to four decimal places.)
SSE =
MSE =
2
0
2
1
(d) Construct an ANOVA table for the data. (Round your answer for F to two decimal places. Round your answers for SS
and MS to four decimal places.)
Source
df
Treatments
Error
Total
о но: H1 = H2= из
Ha: H₁ H₂ H3
SS
O Ho: H₂ <H₂ <H3
H₂H₁ = H₂ = H3
MS
(e) State the null and alternative hypotheses for an analysis of variance F-test.
O Ho: One or more pairs of population means differ.
H₂: H₁ H₂ H3
о но: H1 = H2= из
H₂: One or more pairs of population means differ.
F
о но: H1 = H2= из
H₂: None of the population means are the same.
(f) Use the p-value approach to determine whether there is a difference in the three population means. (Use a = 0.05.)
O p-value < 0.005
O 0.005< p-value < 0.010
O 0.010 < p-value < 0.025
O 0.025 < p-value < 0.050
O 0.050 p-value < 0.100
O p-value > 0.100
State your conclusion.
O Ho is rejected. There is insufficient evidence to indicate a difference among the means.
O Ho is not rejected. There is sufficient evidence to indicate a difference among the means.
O Ho is rejected. There is sufficient evidence to indicate a difference among the means.
Ho is not rejected. There is insufficient evidence to indicate a difference among the means.
Transcribed Image Text:These data are observations collected using a completely randomized design. Sample 1 Sample 2 Sample 3 4 4 2 3 4 5 3 2 2 6 (a) Calculate CM and Total SS. (Round your answer for CM to six decimal places and your Total SS to four decimal places.) CM = Total SS = (b) Calculate SST and MST. (Round your answers to four decimal places.) SST = MST= (c) Calculate SSE and MSE. (Round your answers to four decimal places.) SSE = MSE = 2 0 2 1 (d) Construct an ANOVA table for the data. (Round your answer for F to two decimal places. Round your answers for SS and MS to four decimal places.) Source df Treatments Error Total о но: H1 = H2= из Ha: H₁ H₂ H3 SS O Ho: H₂ <H₂ <H3 H₂H₁ = H₂ = H3 MS (e) State the null and alternative hypotheses for an analysis of variance F-test. O Ho: One or more pairs of population means differ. H₂: H₁ H₂ H3 о но: H1 = H2= из H₂: One or more pairs of population means differ. F о но: H1 = H2= из H₂: None of the population means are the same. (f) Use the p-value approach to determine whether there is a difference in the three population means. (Use a = 0.05.) O p-value < 0.005 O 0.005< p-value < 0.010 O 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 O 0.050 p-value < 0.100 O p-value > 0.100 State your conclusion. O Ho is rejected. There is insufficient evidence to indicate a difference among the means. O Ho is not rejected. There is sufficient evidence to indicate a difference among the means. O Ho is rejected. There is sufficient evidence to indicate a difference among the means. Ho is not rejected. There is insufficient evidence to indicate a difference among the means.
Expert Solution
steps

Step by step

Solved in 8 steps with 1 images

Blurred answer
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