Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 11.4, Problem 44E
a. In a 24 experiment, suppose two blocks are to be used, and it is decided to confound the ABCD interaction with the block effect. Which treatments should be carried out in the first block [the one containing the treatment (1)], and which treatments are allocated to the second block?
b. In an experiment to investigate niacin retention in vegetables as a
| Treatment | xijkl | Treatment | xijkl |
| (1) | 91 | d | 72 |
| a | 85 | ad | 78 |
| b | 92 | bd | 68 |
| ab | 94 | abd | 79 |
| c | 86 | cd | 69 |
| ac | 83 | acd | 75 |
| bc | 85 | bcd | 72 |
| abc | 90 | abcd | 71 |
c. Assume that all three-way interaction effects are absent, so that the associated sums of squares can be combined to yield an estimate of σ2, and carry out all appropriate tests at level .05.
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European City
Change in Hotel Costs
U.S. City
Change in Hotel Costs
Ljubljana
-0.009
Birmingham
0.074
Hotel prices worldwide are projected to increase by 3% next year, but is there a difference between Europe and US? Suppose we have projectd changes in hotels cost for 47 randomly selected major European cities and 53 randomly selected major American Cities.
Geneva
0.000
Pittsburgh
0.089
Zagreb
0.060
Indianapolis
-0.013
Stockholm
0.041
Norfolk
0.070
Tirana
0.082
Boston
0.077
Riga
0.076
Winston-Salem
0.074
Istanbul
0.021
Stockton
0.021
Bucharest
0.073
Laredo
0.024
Budapest
0.045
Corpus Christi
0.088
Part a
Minsk
0.023
Portland
0.020
On the basis of the sample results, can we conclude that the mean change in hotels rates in Europe and US are different ? Develop appropriate null and alternative hypotheses.
Rome
0.033
St. Paul
0.061
Antwerp
0.012
Memphis
0.086
Reykjavik
-0.002
Virginia Beach
0.052
Düsseldorf
0.044…
5.
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.
Heater
Wattage
Area
1
750
291
2
1,750
83
3
1,250
215
4
1,750
209
5
1,500
295
6
750
153
7
1,000
40
8
750
166
9
1,250
115
10
1,250
146
11
750
113
12
1,000
56
13
1,750
284
14
1,000
45
15
750
82
16
1,250
175
17
750
150
18
1,500
231
19
1,000
87
20
750
52
Click here for the Excel Data FileRequired:a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.)
b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734…
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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