Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 13.3, Problem 1BSC
Wilcoxon Signed-Ranks Test for Freshman 15 The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signed-ranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a
| September weight | 67 | 53 | 64 | 74 | 67 | 70 | 56 | 74 | 62 | 57 |
| April weight | 66 | 52 | 68 | 77 | 67 | 71 | 60 | 82 | 65 | 58 |
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Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
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10.403 10.151
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13.876 13.658
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19.824 19.639
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5.904
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11.190 10.935
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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
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Resistivity
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8
9
10
11
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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 13 Solutions
Elementary Statistics
Ch. 13.2 - Prob. 1BSCCh. 13.2 - Prob. 2BSCCh. 13.2 - Prob. 3BSCCh. 13.2 - Prob. 4BSCCh. 13.2 - Prob. 5BSCCh. 13.2 - Prob. 6BSCCh. 13.2 - Prob. 7BSCCh. 13.2 - Prob. 8BSCCh. 13.2 - Prob. 9BSCCh. 13.2 - Prob. 10BSC
Ch. 13.2 - In Exercises 9-12, use the sign test for the data...Ch. 13.2 - Prob. 12BSCCh. 13.2 - Prob. 13BSCCh. 13.2 - In Exercises 13-16, use the sign test for the...Ch. 13.2 - Prob. 15BSCCh. 13.2 - In Exercises 13-16, use the sign test for the...Ch. 13.2 - Appendix B Data Sets.In Exercises 13-16, refer to...Ch. 13.2 - Prob. 18BSCCh. 13.2 - Appendix B Data Sets.In Exercises 17-20, refer to...Ch. 13.2 - Appendix B Data Sets.In Exercises 17-20, refer to...Ch. 13.2 - Procedures for Handling Ties In the sign test...Ch. 13.2 - Prob. 22BBCh. 13.3 - Wilcoxon Signed-Ranks Test for Freshman 15 The...Ch. 13.3 - Prob. 2BSCCh. 13.3 - Prob. 3BSCCh. 13.3 - Prob. 4BSCCh. 13.3 - Prob. 5BSCCh. 13.3 - Prob. 6BSCCh. 13.3 - Using the Wilcoxon Signed-Ranks Test.In Exercises...Ch. 13.3 - Prob. 8BSCCh. 13.3 - Prob. 9BSCCh. 13.3 - Prob. 10BSCCh. 13.3 - Appendix B Data Sets.In Exercises 9-12, refer to...Ch. 13.3 - Prob. 12BSCCh. 13.3 - Prob. 13BBCh. 13.4 - Prob. 1BSCCh. 13.4 - Prob. 2BSCCh. 13.4 - Prob. 3BSCCh. 13.4 - Prob. 4BSCCh. 13.4 - Prob. 5BSCCh. 13.4 - Prob. 6BSCCh. 13.4 - Prob. 7BSCCh. 13.4 - Prob. 8BSCCh. 13.4 - Prob. 9BSCCh. 13.4 - Prob. 10BSCCh. 13.4 - Prob. 11BSCCh. 13.4 - Prob. 12BSCCh. 13.4 - Prob. 13BBCh. 13.4 - Prob. 14BBCh. 13.5 - Effect of Lead on IQ Score Listed below are full...Ch. 13.5 - Prob. 2BSCCh. 13.5 - Notation For the data given in Exercise 1,...Ch. 13.5 - Prob. 4BSCCh. 13.5 - Prob. 5BSCCh. 13.5 - Prob. 6BSCCh. 13.5 - Prob. 7BSCCh. 13.5 - Using tho Kruskal-Wallis Test.In Exercises 5-8,...Ch. 13.5 - Prob. 9BSCCh. 13.5 - Prob. 10BSCCh. 13.5 - Prob. 11BSCCh. 13.5 - Car Crash Measurements Refer to Data See 13 in...Ch. 13.5 - Prob. 13BBCh. 13.6 - Regression If the methods of this section arc used...Ch. 13.6 - Level of Measurement Which of the levels of...Ch. 13.6 - Prob. 3BSCCh. 13.6 - Prob. 4BSCCh. 13.6 - Prob. 5BSCCh. 13.6 - Prob. 6BSCCh. 13.6 - Prob. 7BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 7-12,...Ch. 13.6 - Prob. 9BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 7-12,...Ch. 13.6 - Prob. 11BSCCh. 13.6 - Prob. 12BSCCh. 13.6 - Appendix B Data Sets. In Exercises 13-16, use the...Ch. 13.6 - Prob. 14BSCCh. 13.6 - Appendix B Data Sets. In Exercises 13-16, use the...Ch. 13.6 - Prob. 16BSCCh. 13.6 - Prob. 17BBCh. 13.7 - Prob. 1BSCCh. 13.7 - Prob. 2BSCCh. 13.7 - Prob. 3BSCCh. 13.7 - Prob. 4BSCCh. 13.7 - Prob. 5BSCCh. 13.7 - Prob. 6BSCCh. 13.7 - Prob. 7BSCCh. 13.7 - Prob. 8BSCCh. 13.7 - Prob. 9BSCCh. 13.7 - Baseball World Series Victories Test the claim...Ch. 13.7 - Prob. 11BSCCh. 13.7 - Prob. 12BSCCh. 13 - Prob. 1CQQCh. 13 - Prob. 2CQQCh. 13 - Prob. 3CQQCh. 13 - Prob. 4CQQCh. 13 - Prob. 5CQQCh. 13 - Prob. 6CQQCh. 13 - Prob. 7CQQCh. 13 - Prob. 8CQQCh. 13 - Prob. 9CQQCh. 13 - Sign Test Identify three different applications of...Ch. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 1CRECh. 13 - Please be aware that some of the following...Ch. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Prob. 9CRECh. 13 - Prob. 10CRECh. 13 - Prob. 11TPCh. 13 - Prob. 10FDD
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