Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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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
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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