STAT TECH IN BUSINESS & ECON AC
18th Edition
ISBN: 9781264731657
Author: Lind
Publisher: MCG
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Chapter 15, Problem 61CE
Did you ever purchase a bag of M&M’s candies and wonder about the distribution of colors? Did you know in the beginning they were all brown? Now, peanut M&M’s are 12% are brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green. A 6-oz. bag purchased at the Book Store at Coastal Carolina University had 14 brown, 13 yellow, 14 red, 12 blue, 7 orange, and 12 green. Is it reasonable to conclude that the actual distribution agrees with the expected distribution? Use the .05 significance level. Conduct your own trial. Be sure to share with your instructor.
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+
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Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
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a
b
ab
11.635 12.089
17.273 17.815
с
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10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Question 2
A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially
serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer
to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content
(B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and
the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The
data are shown in Table 2.
1
(a) Estimate the factor effects. Which factor effects appear to be large?
(b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05.
(c) Write down a regression model that can be used to predict crack length as a function of the significant
main effects and interactions you have identified in part (b).
(d) Analyze the residuals from this experiment.
(e) Is there an…
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
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0
0
||++TI++o000
33.2
4.6
31.2
9.6
40.6
162.4
39.4
158.6
63.4
62.6
58.7
0
0
60.9
3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
Chapter 15 Solutions
STAT TECH IN BUSINESS & ECON AC
Ch. 15 - A recent insurance industry report indicated that...Ch. 15 - The following hypotheses are given. H0:.70H1:.70 A...Ch. 15 - The following hypotheses are given. H0:=.40H1:.40...Ch. 15 - Prob. 3ECh. 15 - Prob. 4ECh. 15 - Prob. 5ECh. 15 - Prob. 6ECh. 15 - Prob. 2SRCh. 15 - Prob. 7ECh. 15 - The null and alternate hypotheses are: H0:1=2H1:12...
Ch. 15 - Prob. 9ECh. 15 - GfK Research North America conducted identical...Ch. 15 - Prob. 11ECh. 15 - Prob. 12ECh. 15 - Prob. 3SRCh. 15 - Prob. 13ECh. 15 - Prob. 14ECh. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - Prob. 17ECh. 15 - Classic Golf Inc. manages five courses in the...Ch. 15 - Prob. 19ECh. 15 - Prob. 20ECh. 15 - Prob. 4SRCh. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - Prob. 24ECh. 15 - Prob. 25ECh. 15 - Advertising expenses are a significant component...Ch. 15 - Prob. 5SRCh. 15 - Prob. 27ECh. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - Prob. 31CECh. 15 - Prob. 32CECh. 15 - Prob. 33CECh. 15 - Prob. 34CECh. 15 - Prob. 35CECh. 15 - Research in the gaming industry showed that 10% of...Ch. 15 - Prob. 37CECh. 15 - Prob. 38CECh. 15 - Prob. 39CECh. 15 - Prob. 40CECh. 15 - Prob. 41CECh. 15 - Prob. 42CECh. 15 - The Consumer Confidence Survey is a monthly review...Ch. 15 - Prob. 44CECh. 15 - Prob. 45CECh. 15 - Prob. 46CECh. 15 - Vehicles heading west on Front Street may turn...Ch. 15 - Prob. 48CECh. 15 - Prob. 49CECh. 15 - Prob. 50CECh. 15 - Prob. 51CECh. 15 - Prob. 52CECh. 15 - Prob. 53CECh. 15 - Prob. 54CECh. 15 - Prob. 55CECh. 15 - Prob. 56CECh. 15 - Prob. 57CECh. 15 - Prob. 58CECh. 15 - Prob. 59CECh. 15 - Prob. 60CECh. 15 - Did you ever purchase a bag of MMs candies and...Ch. 15 - Prob. 62DACh. 15 - Prob. 63DACh. 15 - Prob. 64DA
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