Wheat 5.2 4.6 5.9 6.1 6.6 5.7 Barley 6.5 7.9 6.1 7.4 5.8 5.7 Maize 5.8 4.6 6.5 4.9 6.1 5.3 Oats 8.3 6.1 7.9 7.1 5.6 7.3 USE SALT this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level a = the appropriate hypotheses. Ho² M₂ # H₂ # H₂ = 144

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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 4.6 5.9 6.1 6.6 5.7
Barley 6.5 7.9 6.1 7.4 5.8 5.7
Maize 5.8 4.6 6.5 4.9 6.1 5.3
Oats 8.3 6.1 7.9 7.1 5.6 7.3
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.
O Ho: My H₂ H3 # H4
H₂: all four μ's are equal
O Ho: M₁ = H₂ = H3 = H4
H: at least two μ's are unequal
оно му #Маф Из #На
H₂: at least two μ's are equal
о но му = H2 = из = на
H₂: all four μ'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?
O P-value > 0.100
0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
0.001 < P-value < 0.010
Op-value < 0.001
State the conclusion in the problem context.
O Fail to reject Ho. There is 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.
O Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content.
O Reject Ho
.There is not significant evidence that at least two of the grains differ in average thiamin content.
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 4.6 5.9 6.1 6.6 5.7 Barley 6.5 7.9 6.1 7.4 5.8 5.7 Maize 5.8 4.6 6.5 4.9 6.1 5.3 Oats 8.3 6.1 7.9 7.1 5.6 7.3 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. O Ho: My H₂ H3 # H4 H₂: all four μ's are equal O Ho: M₁ = H₂ = H3 = H4 H: at least two μ's are unequal оно му #Маф Из #На H₂: at least two μ's are equal о но му = H2 = из = на H₂: all four μ'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? O P-value > 0.100 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 0.001 < P-value < 0.010 Op-value < 0.001 State the conclusion in the problem context. O Fail to reject Ho. There is 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. O Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. O Reject Ho .There is not significant evidence that at least two of the grains differ in average thiamin content.
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