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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 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

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

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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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 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.
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