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 27.9 25.2 25.3 27.1 20.5 31.4 2: 26.5 24.0 26.2 20.2 24.2 34.0 17.1 26.8 23.7 24.6 3: 29.8 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 36.5 4: 36.7 44.2 34.1 30.3 31.7 33.1 34.1 32.9 36.3 25.8 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H: all four u's are unequal H = EH = 2t = Tr :°H O O Ho: H1 = H2 = Hz = H4 : at least two u,'s are unequal O Ho: H1 H2 # H3 * H4 H: all four u's are equal O Ho: H1 # Hz # H3 # H4 H: at least two u's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Source df Squares Squares Treatments Error Total

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
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 27.9 25.2 25.3 27.1 20.5
31.4
2:
26.5 24.0 26.2 20.2 24.2
34.0
17.1 26.8
23.7
24.6
3:
29.8 34.0 27.5 29.4 28.3
26.2 29.9 29.5
30.0
36.5
4:
36.7 44.2 34.1
30.3 31.7
33.1
34.1 32.9
36.3 25.8
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
: all four u's are unequal
*H = Ert = ?H = Tr:H O
O Ho: H1 = H2 = H3 = H4
H: at least two u's are unequal
O Ho: H1 * H2 # Hz # H4
H: all four u's are equal
O Ho: H1 # H2 # Mz # M4
H: at least two u's are equal
Summarize the results in an ANOVA table. (Round your answers two decimal places.)
Sum of
Mean
Source
df
Squares
Squares
Treatments
Error
Total
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 27.9 25.2 25.3 27.1 20.5 31.4 2: 26.5 24.0 26.2 20.2 24.2 34.0 17.1 26.8 23.7 24.6 3: 29.8 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 36.5 4: 36.7 44.2 34.1 30.3 31.7 33.1 34.1 32.9 36.3 25.8 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. : all four u's are unequal *H = Ert = ?H = Tr:H O O Ho: H1 = H2 = H3 = H4 H: at least two u's are unequal O Ho: H1 * H2 # Hz # H4 H: all four u's are equal O Ho: H1 # H2 # Mz # M4 H: at least two u's are equal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Sum of Mean Source df Squares Squares Treatments Error Total
Give the test statistic. (Round your answer to two decimal places.)
f =
What can be said about the P-value for the test?
O P-value > 0.100
O 0.050 < P-value < 0.100
0.010 < P-value < 0.050
O 0.001 < P-value < 0.010
P-value < 0.001
State the conclusion in the problem context.
O Fail to reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations.
Reject H. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations.
Reject H,. 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.
Transcribed Image Text:Give the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. O Fail to reject Ho. There is insufficient evidence to conclude that the total Fe differs for the four formations. Reject H. There is sufficient evidence to conclude that the total Fe differs for at least two of the four formations. Reject H,. 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Non-parametric Tests
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
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