PROB & STATS F/ ENGIN & SCI W/ACCESS
9th Edition
ISBN: 9780357007006
Author: DEVORE
Publisher: CENGAGE L
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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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2. Monosodium Glutamate (MSG) had been considered to induce obesity in rodents and mice. In line with this, a study was conducted
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Table 1. Weights of Mice Injected with 5 mg
MSG/body-weight Amount of MSG
Body-Weight
Week 0
Table 2. Weights of Mice injected with 15 mg MSG/body-
weight Amount of MSG
Body-Weight
No.
No.
Week 2
Week 0
Week 2
1
18.18
29.1
1
20.11
27.16
2
19.21
27.22
2
19.03
26.07
19.23
28.19
18.89
29.12
4
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Objective 1. to determine whether there is a…
Suppose a study investigated the effects of vitamin A, vitamin C, and omega-3 fatty
acids supplements on improving eye health and vision. 300 adults volunteered to take
part in the study. In the study, participants were randomly assigned to one of 3
different levels of Vitamin A (Level A, Level B, or Level C) and randomly assigned to one
of 2 different levels of Vitamin C (Level 1 or Level 2) and randomly assigned to one of 2
different levels of omega-3 fatty acid (Level I or Level II).
a. Identify the subjects of the study.
b. Identify the factor(s) for the study and the number of treatment level(s) for each
factor.
c. How many different treatment groups are there in this study?
A physiologist has conducted an experiment to evaluate the effect of hormone X on sexual behavior. Ten rats were injected with hormone X and 10 other rats received a placebo injection. The number of matings was counted over a 20-minute period. The results are shown in the table below.
Table 1: Data from hormone X experiment
Group 1
Hormone X
Group 2
Placebo
X1
(X1) 2
X2
(X1) 2
8
64
5
25
10
100
6
36
12
144
3
9
6
36
4
16
6
36
7
49
7
49
8
64
9
81
6
36
8
64
5
25
7
49
4
16
11
121
8
64
84
744
56
340
a) What is the alternative hypothesis? Use a nondirectional hypothesis.
b) What is the null hypothesis?
c) What do you conclude? Use α = 0.05 (2-tail)
Chapter 11 Solutions
PROB & STATS F/ ENGIN & SCI W/ACCESS
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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