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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Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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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.

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
5.0 6.1 5.2
Maize 5.7 4.8 6.5
Oats
8.2 6.1 7.9 7.1 5.4 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.
оно му #Мафиз Ана
H₂: at least two μ's are equal
O Ho: M₁ = M₂ = μ3 = 14
Ha: at least two μ's are unequal
о ном1 = М2 = 3 = 14
H₂: all four μ's are unequal
O Hoi H₁ H₂ H3 # 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
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.
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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