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).Wheat5.34.46.16.16.65.8Barley6.48.16.27.55.95.6Maize5.74.86.55.06.15.2Oats8.26.17.97.15.47.3 Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level ? = 0.05 test.State the appropriate hypotheses.H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equalCompute the test statistic value. (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 P-value < 0.001State the conclusion in the problem context.Reject H0. There is not significant evidence that at least two of the grains differ in average thiamin content. Reject H0. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject H0. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject H0. 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 5.3 4.4 6.1 6.1 6.6 5.8.Barley 6.4 8.1 6.2 7.5 5.9 5.65.0 6.1 5.2Maize 5.7 4.8 6.5Oats8.2 6.1 7.9 7.1 5.4 7.3USE SALTDoes 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.оно му #Мафиз АнаH₂: at least two μ's are equalO Ho: M₁ = M₂ = μ3 = 14Ha: at least two μ's are unequalо ном1 = М2 = 3 = 14H₂: all four μ's are unequalO Hoi H₁ H₂ H3 # M4H₂: all four μ's are equalCompute 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 > 0.1000.050 < P-value < 0.100○ 0.010 < P-value < 0.0500.001 < P-value < 0.010P-value < 0.001State 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.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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Answered: ix samples of each of four types of…

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	5.3	4.4	6.1	6.1	6.6	5.8
Barley	6.4	8.1	6.2	7.5	5.9	5.6
Maize	5.7	4.8	6.5	5.0	6.1	5.2
Oats	8.2	6.1	7.9	7.1	5.4	7.3

Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level ? = 0.05 test.

State the appropriate hypotheses.

H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄
H_a: at least two ?_i's are equal H₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: at least two ?_i's are unequal H₀: ?₁ = ?₂ = ?₃ = ?₄
H_a: all four ?_i's are unequal H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄
H_a: all four ?_i'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?

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.

Reject H₀. There is not significant evidence that at least two of the grains differ in average thiamin content. Reject H₀. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject H₀. There is significant evidence that at least two of the grains differ in average thiamin content. Fail to reject H₀. There is not significant evidence that at least two of the grains differ in average thiamin content.