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:
20.3
28.1
27.8
27.0
27.5
25.2
25.3
27.1
20.5
31.2
2:
26.1
24.0
26.2
20.2
23.9
34.0
17.1
26.8
23.7
24.8
3:
30.2
34.0
27.5
29.4
28.4
26.2
29.9
29.5
30.0
36.1
4:
36.3
44.2
34.1
30.3
32.0
33.1
34.1
32.9
36.3
25.3
Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses.
H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal
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.)f = What can be said about the P-value for the test?
P-value >…
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.)
The article “Snow Cover and TemperatureRelationships in North America and Eurasia” (J.Climate and Applied Meteorology, 1983: 460–469) usedstatistical techniques to relate the amount of snow coveron each continent to average continental temperature.Data presented there included the following ten observationson October snow cover for Eurasia during the years1970–1979 (in million km2):6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2What would you report as a representative, or typical,value of October snow cover for this period, and whatprompted your choice?
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 10.1 - In an experiment to compare the tensile strengths...Ch. 10.1 - Suppose that the compression-strength observations...Ch. 10.1 - The lumen output was determined for each of I = 3...Ch. 10.1 - It is common practice in many countries to destroy...Ch. 10.1 - Consider the following summary data on the modulus...Ch. 10.1 - The article Origin of Precambrian Iron Formations...Ch. 10.1 - An experiment was carried out to compare...Ch. 10.1 - A study of the properties of metal plate-connected...Ch. 10.1 - Six samples of each of four types of cereal grain...Ch. 10.1 - In single-factor ANOVA with I treatments and J...
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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