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Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (μg/g). Wheat 5.2 4.4 5.9 6.2 6.6 5.7 Barley 6.5 7.9 6.2 7.5 6.0 5.7 Maize 5.9 4.8 6.3 5.0 5.9 5.2 Oats 8.2 6.1 7.8 7.0 5.4 7.1 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level a = 0.05 test. State the appropriate hypotheses. Ho: M₂H₂ Hy * Ma H₁: at least two u/'s are equal O Hoi H₁ H₂ H3 * HA H: all four 's are equal O Ho: M₁M₂H₂H4 H: at least two μ's are unequal O Ho: M₁M₂ M3 M4 H₂: all four μ's are unequal Compute the test statistic value. (Round your answer to two decimal places.) What can be said about the P-value for the test? O 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 State the conclusion in the problem context. O Reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. Reject H. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject Ho. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content.

Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (μg/g). Wheat 5.2 4.4 5.9 6.2 6.6 5.7 Barley 6.5 7.9 6.2 7.5 6.0 5.7 Maize 5.9 4.8 6.3 5.0 5.9 5.2 Oats 8.2 6.1 7.8 7.0 5.4 7.1 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level a = 0.05 test. State the appropriate hypotheses. Ho: M₂H₂ Hy * Ma H₁: at least two u/'s are equal O Hoi H₁ H₂ H3 * HA H: all four 's are equal O Ho: M₁M₂H₂H4 H: at least two μ's are unequal O Ho: M₁M₂ M3 M4 H₂: all four μ's are unequal Compute the test statistic value. (Round your answer to two decimal places.) What can be said about the P-value for the test? O 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 State the conclusion in the problem context. O Reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. Reject H. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject Ho. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 5.9 6.2 6.6 5.7 Barley 6.5 7.9 6.2 7.5 6.0 5.7 Maize 5.9 4.8 6.3 5.0 5.9 5.2 Oats 8.2 6.1 7.8 7.0 5.4 7.1 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level a = 0.05 test. State the appropriate hypotheses. O H₂i M₂ # H₂ H3 #HA H₁: at least two μ's are equal O Ho: M₂ # H₂ H3 * HA H: all four μ's are equal · H₂² M₂ = M₂ = H3 = M4 H: at least two μ's are unequal Ho: M₂H₂ H3= H4 H₂: all four 's are unequal Compute the test statistic value. (Round your answer to two decimal places.) f= What can be said about the P-value for the test? OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. O Reject H. There is significant evidence that at least two of the grains differ in average thiamin content. O Fail to reject Ho. There is significant evidence that at least two of the grains differ in average thiamin content. O Fail to reject H. There is not significant evidence that at least two of the grains differ in average thiamin content. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 5.9 6.2 6.6 5.7 Barley 6.5 7.9 6.2 7.5 6.0 5.7 Maize 5.9 4.8 6.3 5.0 5.9 5.2 Oats 8.2 6.1 7.8 7.0 5.4 7.1 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level a = 0.05 test. State the appropriate hypotheses. O H₂i M₂ # H₂ H3 #HA H₁: at least two μ's are equal O Ho: M₂ # H₂ H3 * HA H: all four μ's are equal · H₂² M₂ = M₂ = H3 = M4 H: at least two μ's are unequal Ho: M₂H₂ H3= H4 H₂: all four 's are unequal Compute the test statistic value. (Round your answer to two decimal places.) f= What can be said about the P-value for the test? OP-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. O Reject H. There is significant evidence that at least two of the grains differ in average thiamin content. O Fail to reject Ho. There is significant evidence that at least two of the grains differ in average thiamin content. O Fail to reject H. There is not significant evidence that at least two of the grains differ in average thiamin content. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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