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Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 14 16 6 13 2: 21 12 21 16 3: 19 15 19 17 4: 6 11 18 9 5: 5 10 15 7 USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. оно му #M2 #μз #на #M5 H₂: all five us are equal оно: H1=M2 =Nз =H4=M5 H₂: all five μ's are unequal Ho: M₁ M₂ M3 M4 M5 H₂: at least two μ's are equal Ho: M₁ = M₂ = μ3 = M4 = μ5 H₂: at least two μ's are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? OP-value> 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010

Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 14 16 6 13 2: 21 12 21 16 3: 19 15 19 17 4: 6 11 18 9 5: 5 10 15 7 USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. оно му #M2 #μз #на #M5 H₂: all five us are equal оно: H1=M2 =Nз =H4=M5 H₂: all five μ's are unequal Ho: M₁ M₂ M3 M4 M5 H₂: at least two μ's are equal Ho: M₁ = M₂ = μ3 = M4 = μ5 H₂: at least two μ's are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? OP-value> 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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State the conclusion in the problem context. O Reject Ho. There does not appear to be a difference in the average growth. O Fail to reject Ho. There appears to be a difference in the average growth of at least two groups. O Fail to reject Ho. There does not appear to be a difference in the average growth. O Reject Ho. There appears to be a difference in the average growth of at least two groups. (b) What happens when Tukey's procedure is applied? (Round your answer to two decimal places.) W = Which means differ significantly from one another? (Select all that apply.) X₁, and X₂. X₁ and X3. X₁ and X4. X₁ and X5. X₂, and X3. X₂, and X4. X₂, and X5. X3, and X4. X3, and X5. X4, and X5. There are no significant differences. Are Tukey's method and the F test in agreement? O Yes O No
Transcribed Image Text:State the conclusion in the problem context. O Reject Ho. There does not appear to be a difference in the average growth. O Fail to reject Ho. There appears to be a difference in the average growth of at least two groups. O Fail to reject Ho. There does not appear to be a difference in the average growth. O Reject Ho. There appears to be a difference in the average growth of at least two groups. (b) What happens when Tukey's procedure is applied? (Round your answer to two decimal places.) W = Which means differ significantly from one another? (Select all that apply.) X₁, and X₂. X₁ and X3. X₁ and X4. X₁ and X5. X₂, and X3. X₂, and X4. X₂, and X5. X3, and X4. X3, and X5. X4, and X5. There are no significant differences. Are Tukey's method and the F test in agreement? O Yes O No
Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 14 16 6 13 2: 21 12 21 16 3: 19 15 19 17 4: 6 11 18 9 5: 5 10 15 7 USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. Ho: M₁ M₂ M3 M4 M5 # H₂: all five μ's are equal оно: H1=M2 = M3 =H4=M5 Ha: all five μ's are unequal Ho: M₁ M₂ M3 M4 M5 H₂: at least two μ's are equal но: Н1 = М2 = Из =H4=M5 H₂: at least two μ's are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = 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 OP-value < 0.001
Transcribed Image Text:Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 14 16 6 13 2: 21 12 21 16 3: 19 15 19 17 4: 6 11 18 9 5: 5 10 15 7 USE SALT (a) Perform an F test at level a = 0.05. State the appropriate hypotheses. Ho: M₁ M₂ M3 M4 M5 # H₂: all five μ's are equal оно: H1=M2 = M3 =H4=M5 Ha: all five μ's are unequal Ho: M₁ M₂ M3 M4 M5 H₂: at least two μ's are equal но: Н1 = М2 = Из =H4=M5 H₂: at least two μ's are unequal Calculate the test statistic. (Round your answer to two decimal places.) f = 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 OP-value < 0.001
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