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 6E
The article “Origin of Precambrian Iron Formations” (Econ. Geology, 1964: 1025–1057) reports the following data on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).
| 1: | 20.5 | 28.1 | 27.8 | 27.0 | 28.0 |
| 25.2 | 25.3 | 27.1 | 20.5 | 31.3 | |
| 2: | 26.3 | 24.0 | 26.2 | 20.2 | 23.7 |
| 34.0 | 17.1 | 26.8 | 23.7 | 24.9 | |
| 3: | 29.5 | 34.0 | 27.5 | 29.4 | 27.9 |
| 26.2 | 29.9 | 29.5 | 30.0 | 35.6 | |
| 4: | 36.5 | 44.2 | 34.1 | 30.3 | 31.4 |
| 33.1 | 34.1 | 32.9 | 36.3 | 25.5 |
Carry out an analysis of variance F test at significance level .01, and summarize the results in an ANOVA table.
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The following data was reported on total Fe for four types of iron formation (1 carbonate, 2 silicate, 3 magnetite, 4 hematite).
1: 21.0 28.1 27.8 27.0 27,8 25.2 25.3 27.1 20.5 31.5
2: 26.2 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 25.0
3: 29.6 34.0 27.5 29.4 26.4 26.2 29.9 29.5 30.0 35.5
4: 37.1 44,2 34.1 30.3 31.8 33.134.1 32.9 36,3 25.3
A USE SALT
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
H at least two 's are equal
Ho Hi= Ha = H4
H at least two 's are unequal
O Ho = = 4
H al four s are unequal
H all four 's are equal
The following data was reported on total Fe for four types of iron formation (1= carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).
1: 20.9 28.1 27.8 27.0 28.1 25.2 25.3 27.1 20.5 31.1
2: 26.6 24.0 26.2 20.2 23.5 34.0 17.1 26.8 23.7 24.7
3: 29.8 34.0 27.5 29.4 27.8 26.2 29.9 29.5 30.0 36.2
4:36.7 44.2 34.1 30.3 31.5 33.1 34.1 32.9 36.3 25.7
USE SALT
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
Hoi H₁ H₂ H3 H4
H: at least two 's are equal
Ho: 441 442 443 444
H: all four μ's are unequal
Ho: My=4₂=143 = 14
H: at least two /'s are unequal
o Hoi khi đi không đi không khả
H: all four μ's are equal
Summarize the results in an ANOVA table. (Round your answers two decimal places.)
Sum of
Squares
Source
Treatments 3
36
39
Error
Total
df
515.71
563.2
1078.91
Give the test statistic. (Round your answer to two decimal places.)
f= 10.99
What can be said about the P-value for the test?
P-value > 0.100
0.050
The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite).
1:
20.6
28.1
27.8
27.0
27.9
25.2
25.3
27.1
20.5
31.2
2:
26.5
24.0
26.2
20.2
23.6
34.0
17.1
26.8
23.7
24.8
3:
30.2
34.0
27.5
29.4
28.3
26.2
29.9
29.5
30.0
35.8
4:
36.6
44.2
34.1
30.3
32.0
33.1
34.1
32.9
36.3
25.2
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: all four ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: at least two ?i's are unequal
Summarize the results in an ANOVA table. (Round your answers two decimal places.)
Source
df
Sum ofSquares
MeanSquares
f
Treatments
Error
Total
Give the test statistic. (Round your answer to two decimal places.)
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
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