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 (ug/g). Suppose that all required ANOVA assumptions are satisfied. Wheat 5.2 4.4 5.9 6.2 6.7 5.8 Barley 6.4 7.9 6.1 7.4 5.8 5.6 Maize 5.8 4.6 6.4 5.0 6.1 5.2 Oats 8.4 6.0 7.8 7.0 5.5 7.2 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: H1 = H2 = H3 = H4 H: at least two µ's are unequal O Ho: H1 = H2 = "3 = H4 H: all four u's are unequal O Ho: H1 + H2 # H3# H4 H: at least two u's are equal O Ho: H1 # H2 + H3# H4 H: all four u's are equal Compute the test statistic value. (Round your answer to two decimal places.)

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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 (ug/g). Suppose that all required ANOVA
assumptions are satisfied.
Wheat
5.2
4.4
5.9
6.2 6.7
5.8
Barley 6.4
7.9
6.1
7.4
5.8 5.6
Maize
5.8 4.6 6.4
5.0
6.1
5.2
Oats
8.4 6.0 7.8 7.0
5.5
7.2
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: H1 = H2 = H3 = H4
: at least two µ;'s are unequal
O Ho: H1 = H2 = H3 = H4
Ha: all four u;'s
s are unequal
O Ho: H1 # H2 * Hz# H4
Ha:
: at least two µ;'s are equal
O Hoi H1# Hz + H3# H4
H: all four u;'s are equal
Compute the test statistic value. (Round your answer to two decimal places.)
f =
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 (ug/g). Suppose that all required ANOVA assumptions are satisfied. Wheat 5.2 4.4 5.9 6.2 6.7 5.8 Barley 6.4 7.9 6.1 7.4 5.8 5.6 Maize 5.8 4.6 6.4 5.0 6.1 5.2 Oats 8.4 6.0 7.8 7.0 5.5 7.2 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: H1 = H2 = H3 = H4 : at least two µ;'s are unequal O Ho: H1 = H2 = H3 = H4 Ha: all four u;'s s are unequal O Ho: H1 # H2 * Hz# H4 Ha: : at least two µ;'s are equal O Hoi H1# Hz + H3# H4 H: all four u;'s are equal Compute the test statistic value. (Round your answer to two decimal places.) f =
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