Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.1, Problem 9E
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 | 6.0 | 6.1 | 6.7 | 5.8 |
| Barley | 6.5 | 8.0 | 6.1 | 7.5 | 5.9 | 5.6 |
| Maize | 5.8 | 4.7 | 6.4 | 4.9 | 6.0 | 5.2 |
| Oats | 8.3 | 6.1 | 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 α = .05 test.
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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 4.4 6.1 6.2 6.6 5.8
Barley 6.5 7.9 6.0 7.6 6.0 5.7
Maize 5.8 4.6 6.4 4.9 6.0 5.2
Oats 8.4 6.2 7.8 7.1 5.4 7.2
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.
| H₂: M₁ = H₂ = H3 = H4
H₂: all four μ's are unequal
• Ho: M₁ = H₂ = H3 = H4
H₂: at least two μ's are unequal
ⒸH₂² H₁ H₂ H3 H4
#
H: all four μ's are equal
O Ho: M₁ #M₂ #H3 H4
H₂: at least two 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
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O 0.001 < P-value < 0.010
O P-value < 0.001
State the conclusion in the problem context.
O Reject Ho. There is not significant evidence…
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…
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 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 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.…
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
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Ch. 10.2 - An experiment to compare the spreading rates of...Ch. 10.2 - In Exercise 11, suppose x3. = 427.5. Now which...Ch. 10.2 - Prob. 13ECh. 10.2 - Use Tukeys procedure on the data in Example 10.3...Ch. 10.2 - Exercise 10.7 described an experiment in which 26...Ch. 10.2 - Reconsider the axial stiffness data given in...Ch. 10.2 - Prob. 17ECh. 10.2 - Consider the accompanying data on plant growth...Ch. 10.2 - Prob. 19ECh. 10.2 - Refer to Exercise 19 and suppose x1 = 10, x2 = 15,...Ch. 10.2 - The article The Effect of Enzyme Inducing Agents...Ch. 10.3 - The following data refers to yield of tomatoes...Ch. 10.3 - Apply the modified Tukeys method to the data in...Ch. 10.3 - The accompanying summary data on skeletal-muscle...Ch. 10.3 - Lipids provide much of the dietary energy in the...Ch. 10.3 - Samples of six different brands of diet/imitation...Ch. 10.3 - Although tea is the worlds most widely consumed...Ch. 10.3 - For a single-factor ANOVA with sample sizes Ji(i =...Ch. 10.3 - When sample sizes are equal (Ji = J). the...Ch. 10.3 - Reconsider Example 10.8 involving an investigation...Ch. 10.3 - When sample sizes are not equal, the non...Ch. 10.3 - In an experiment to compare the quality of four...Ch. 10.3 - Prob. 33ECh. 10.3 - Simplify E(MSTr) for the random effects model when...Ch. 10 - An experiment was carried out to compare flow...Ch. 10 - Cortisol is a hormone that plays an important role...Ch. 10 - Numerous factors contribute to the smooth running...Ch. 10 - An article in the British scientific journal...Ch. 10 - Prob. 39SECh. 10 - Prob. 40SECh. 10 - Prob. 41SECh. 10 - The critical flicker frequency (cff) is the...Ch. 10 - Prob. 43SECh. 10 - Four types of mortarsordinary cement mortar (OCM)....Ch. 10 - Prob. 45SECh. 10 - Prob. 46SE
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