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 4.4 6.0 6.0 6.7 5.7 Barley 6.4 8.0 6.2 7.6 5.9 5.7 Maize Oats 5.7 4.6 6.4 4.8 6.1 5.3 8.2 6.1 7.9 7.1 5.6 7.1 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: H1 H2 H3 #44 H₁: all four μ's are equal Ho M1 M2 M3 = μ4 H: all four μ's are unequal Ho: M1 M2 M3 M4 Ha : at least two us are equal O Ho H1 H2 =μ3=4 Ha at least two 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? 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 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. Reject Ho. There is not 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.
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 4.4 6.0 6.0 6.7 5.7 Barley 6.4 8.0 6.2 7.6 5.9 5.7 Maize Oats 5.7 4.6 6.4 4.8 6.1 5.3 8.2 6.1 7.9 7.1 5.6 7.1 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: H1 H2 H3 #44 H₁: all four μ's are equal Ho M1 M2 M3 = μ4 H: all four μ's are unequal Ho: M1 M2 M3 M4 Ha : at least two us are equal O Ho H1 H2 =μ3=4 Ha at least two 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? 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 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. Reject Ho. There is not 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.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter11: Temperature And Temperature- Related Variables In Engineering
Section: Chapter Questions
Problem 9P: Calculate the R-value for the following materials: a. 4 in. thick brick b. 10 cm thick brick c. 12...
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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 4.4 6.0 6.0 6.7 5.7
Barley 6.4 8.0 6.2 7.6
5.9 5.7
Maize
Oats
5.7 4.6 6.4 4.8
6.1 5.3
8.2 6.1 7.9 7.1 5.6 7.1
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: H1 H2 H3 #44
H₁: all four μ's are equal
Ho M1 M2 M3 = μ4
H: all four μ's are unequal
Ho: M1 M2 M3 M4
Ha
: at least two us are equal
O Ho H1 H2 =μ3=4
Ha at least two 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?
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 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.
Reject Ho. There is not 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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