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 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 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: H₁ H₂ H3 H4 H: all four μ's are unequal Ho: H₁ H₂ H3 H4 H: at least two μ's are unequal O Hoi H₁ H₂ H3 H4 H: all four μ's are equal O Hoi H₁ H₂ H3 H4 H: at least two μ's are equal 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 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. Reject Ho. 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. O 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 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 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: H₁ H₂ H3 H4 H: all four μ's are unequal Ho: H₁ H₂ H3 H4 H: at least two μ's are unequal O Hoi H₁ H₂ H3 H4 H: all four μ's are equal O Hoi H₁ H₂ H3 H4 H: at least two μ's are equal 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 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. Reject Ho. 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. O 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 6.1 6.2 6.6 5.8
Barley 6.5 7.9 6.0 7.6 6.0 5.7
Maize 5.8 4.6 6.4 4.9 6.0 5.2
Oats 8.4 6.2 7.8 7.1 5.4 7.2
USE SALT
Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test.
State the appropriate hypotheses.
| H₂: M₁ = H₂ = H3 = H4
H₂: all four μ's are unequal
• Ho: M₁ = H₂ = H3 = H4
H₂: at least two μ's are unequal
ⒸH₂² H₁ H₂ H3 H4
#
H: all four μ's are equal
O Ho: M₁ #M₂ #H3 H4
H₂: at least two μ's are equal
Compute the test statistic value. (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
O 0.010 < P-value < 0.050
O 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 Ho. 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 Ho. There is not significant evidence that at least two of the grains differ in average thiamin content.
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