5.2 4.5 5.9 6.0 6.7 5.8 6.6 8.1 6.0 7.4 5.9 5.5 5.8 4.8 6.3 4.9 6.0 5.2 8.4 6.1 7.8 7.1 5.5 7.2 suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. priate hypotheses. Н2 #Из #На ast two μ's are equal H₂=H3 = H4 ast two μ's are unequal H₂H₂ = 14.

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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 4.5 5.9 6.0 6.7 5.8
Barley 6.6 8.1 6.0 7.4 5.9 5.5
Maize 5.8 4.8 6.3 4.9 6.0 5.2
8.4 6.1 7.8 7.1 5.5 7.2
Oats
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 Ho: M₁ M₂ M3 ‡ M4
#
: at least two μ's are equ
Ha:
о но: M1=M2=Nз =Ма
Ha: at least two μ's are unequal
о но: M1=M2=Nз =Ма
: all four 's are unequal
Ha:
O Ho: M₁ M₂
#
#
M3 M4
#
H₂: all four 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
0.050 < P-value < 0.100
0.010 P-value < 0.050
0.001 P-value < 0.010
O P-value < 0.001
State the conclusion in the problem context.
Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content.
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.
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 4.5 5.9 6.0 6.7 5.8 Barley 6.6 8.1 6.0 7.4 5.9 5.5 Maize 5.8 4.8 6.3 4.9 6.0 5.2 8.4 6.1 7.8 7.1 5.5 7.2 Oats 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 Ho: M₁ M₂ M3 ‡ M4 # : at least two μ's are equ Ha: о но: M1=M2=Nз =Ма Ha: at least two μ's are unequal о но: M1=M2=Nз =Ма : all four 's are unequal Ha: O Ho: M₁ M₂ # # M3 M4 # H₂: all four 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 0.050 < P-value < 0.100 0.010 P-value < 0.050 0.001 P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. Fail to reject Ho. There is not significant evidence that at least two of the grains differ in average thiamin content. 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.
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