Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Squares Squares Source Treatments 3 36 39 Error Total df 515.71 563.2 1078.91 x x 171.90 15.65 10.99 f

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The following data was reported on total Fe for four types of iron formation (1= carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).
1: 20.9 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1
2: 26.6 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.7
3: 29.8 34.0 27.5 29.4 27.8 26.2 29.9 29.5 30.0 36.2
4:36.7 44.2 34.1 30.3 31.5 33.1 34.1 32.9 36.3 25.7
USE SALT
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
Hoi H₁ H₂ H3 H4
H: at least two 's are equal
Ho: 441 442 443 444
H: all four μ's are unequal
Ho: My=4₂=143 = 14
H: at least two /'s are unequal
o Hoi khi đi không đi không khả
H: all four μ's are equal
Summarize the results in an ANOVA table. (Round your answers two decimal places.)
Sum of
Squares
Source
Treatments 3
36
39
Error
Total
df
515.71
563.2
1078.91
Give the test statistic. (Round your answer to two decimal places.)
f= 10.99
What can be said about the P-value for the test?
P-value > 0.100
0.050<P-value < 0.100
0.010 < P-value < 0.050
0.001 < P-value < 0.010
P-value < 0.001
Mean
Squares
171.90
15.65
10.99
f
State the conclusion in the problem context.
Reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations.
Fail to reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations.
Fail to reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations.
Reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:The following data was reported on total Fe for four types of iron formation (1= carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.9 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1 2: 26.6 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.7 3: 29.8 34.0 27.5 29.4 27.8 26.2 29.9 29.5 30.0 36.2 4:36.7 44.2 34.1 30.3 31.5 33.1 34.1 32.9 36.3 25.7 USE SALT Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. Hoi H₁ H₂ H3 H4 H: at least two 's are equal Ho: 441 442 443 444 H: all four μ's are unequal Ho: My=4₂=143 = 14 H: at least two /'s are unequal o Hoi khi đi không đi không khả H: all four μ's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Squares Source Treatments 3 36 39 Error Total df 515.71 563.2 1078.91 Give the test statistic. (Round your answer to two decimal places.) f= 10.99 What can be said about the P-value for the test? P-value > 0.100 0.050<P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 Mean Squares 171.90 15.65 10.99 f State the conclusion in the problem context. Reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations. Fail to reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations. Fail to reject Ho. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations. Reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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