Statistics
13th Edition
ISBN: 9780135820100
Author: MCCLAVE, James T., Sincich, Terry
Publisher: PEARSON
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Chapter 14.6, Problem 77LM
a.
To determine
Find the number of blocks that were used in the experimental design.
b.
To determine
State the null and alternative hypothesis that should be used in conducting a hypothesis test to determine whether the
c.
To determine
Perform the test of Part b at
d.
To determine
Find the approximate p-value of the test of part c.
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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
I+I+I+I+Oooo
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?
Stem1: 1,4
Stem 2: 2,4,8
Stem3: 2,4
Stem4: 0,1,6,8
Stem5: 0,1,2,3,9
Stem 6: 2,2
What’s the Min,Q1, Med,Q3,Max?
Chapter 14 Solutions
Statistics
Ch. 14.2 - Prob. 1UPCh. 14.2 - Prob. 2UPCh. 14.2 - Prob. 3LMCh. 14.2 - Prob. 4LMCh. 14.2 - Prob. 5LMCh. 14.2 - Music performance anxiety. Refer to the British...Ch. 14.2 - Prob. 7ACBCh. 14.2 - 15.8 Caffeine in Starbucks coffee. Researchers at...Ch. 14.2 - Emotional empathy in young adults. Refer to the...Ch. 14.2 - Prob. 10ACB
Ch. 14.2 - Prob. 11ACBCh. 14.2 - Prob. 12ACICh. 14.2 - 15.10 Lobster trap placement. Refer to the...Ch. 14.2 - Prob. 14ACICh. 14.2 - Prob. 15ACICh. 14.2 - Prob. 16ACICh. 14.2 - Prob. 17ACICh. 14.3 - What is a rank sum?
Ch. 14.3 - Prob. 19UPCh. 14.3 - Prob. 20UPCh. 14.3 - Prob. 21LMCh. 14.3 - 15.17 Suppose you want to compare two treatments,...Ch. 14.3 - Prob. 23LMCh. 14.3 - Random samples of sizes n1 = 16 and n2 = 12 were...Ch. 14.3 - 15.18 Independent random samples are selected from...Ch. 14.3 - Prob. 26ACBCh. 14.3 - Prob. 27ACBCh. 14.3 - Prob. 28ACBCh. 14.3 - 15.23 The X-Factor in golf performance. Many golf...Ch. 14.3 - Prob. 30ACBCh. 14.3 - Prob. 31ACBCh. 14.3 - 15.85 Children’s recall of TV ads. Refer to the...Ch. 14.3 - Prob. 33ACICh. 14.3 - Prob. 34ACICh. 14.3 - Prob. 35ACICh. 14.3 - Prob. 36ACICh. 14.3 - Prob. 37ACICh. 14.3 - Prob. 38ACICh. 14.3 - Prob. 39ACICh. 14.4 - Explain the difference between the one- and...Ch. 14.4 - Prob. 41UPCh. 14.4 - Prob. 42LMCh. 14.4 - Prob. 43LMCh. 14.4 - Prob. 44LMCh. 14.4 - Prob. 45LMCh. 14.4 - A random sample of nine pairs of measurements is...Ch. 14.4 - Prob. 47ACBCh. 14.4 - Prob. 48ACBCh. 14.4 - Prob. 49ACBCh. 14.4 - Prob. 50ACBCh. 14.4 - Reading comprehension strategies of elementary...Ch. 14.4 - Prob. 52ACBCh. 14.4 - Prob. 53ACICh. 14.4 - Prob. 54ACICh. 14.4 - Prob. 55ACICh. 14.4 - Neurological impairment of POWs. Eleven prisoners...Ch. 14.4 - Prob. 57ACICh. 14.4 - Prob. 58ACACh. 14.5 - 15.43 Under what circumstances does the χ2...Ch. 14.5 - Which of the following results would lead you to...Ch. 14.5 - Suppose you want to use the Kruskal-Wallis H-test...Ch. 14.5 - Data were collected from three populations—A, B...Ch. 14.5 - 15.46 Containing wildfires. The International...Ch. 14.5 - 15.47 Road safety of neighborhoods. The Canadian...Ch. 14.5 - Dog behavior on walks. A field study was conducted...Ch. 14.5 - 15.49 Improving driving performance while...Ch. 14.5 - Effect of scopolamine on memory. Refer to the...Ch. 14.5 - 15.48 Commercial eggs produced from different...Ch. 14.5 - 15.50 Relieving pain with hypnosis. Rehabilitation...Ch. 14.5 - Energy expenditure of laughter. Refer to the...Ch. 14.5 -
Restoring self-control when intoxicated. Refer...Ch. 14.5 - Ground water contamination of wells. Refer to the...Ch. 14.5 - The “name game.” Refer to the Journal of...Ch. 14.5 -
Is honey a cough remedy? Refer to the Archives...Ch. 14.6 - Which of the following statements correctly...Ch. 14.6 - What conditions are required for a valid...Ch. 14.6 - Data were collected under a randomized block...Ch. 14.6 - 15.55 Suppose you have used a randomized block...Ch. 14.6 - 15.56 An experiment was conducted using a...Ch. 14.6 - A new method of evaluating health care research...Ch. 14.6 - Prob. 81ACBCh. 14.6 - 15.64 Containers designed to cool citrus fruit....Ch. 14.6 - 15.57 Estimating time needed to complete a task....Ch. 14.6 - 15.60 Taste testing scales. Refer to the Journal...Ch. 14.6 - Impact study of distractions while driving. The...Ch. 14.6 - 15.58 Condit ions impeding farm production. A...Ch. 14.6 - “Topsy-turvy” seasons in college football. Refer...Ch. 14.6 - 15.65 Irrelevant facial similarity effects on...Ch. 14.6 - Effect of massage on boxers. Refer to the British...Ch. 14.6 - Plants and stress reduction. Refer to the Kansas...Ch. 14.7 - What is the value of rS when there is perfect...Ch. 14.7 - What conditions are required for a valid...Ch. 14.7 - 15.66 Use Table XIV at the end of this chapter to...Ch. 14.7 - 15.67 Specify the rejection region for Spearman’s...Ch. 14.7 - 15.69 Compute Spearman s rank correlation...Ch. 14.7 - 15.68 The following sample data were collected on...Ch. 14.7 - Measuring the moon’s orbit. Refer to the American...Ch. 14.7 - Mongolian desert ants. Refer to the Journal of...Ch. 14.7 - Game performance of water polo players. Refer to...Ch. 14.7 - Lobster fishing study. Refer to the Bulletin of...Ch. 14.7 - Effect of massage on boxers. Refer to the British...Ch. 14.7 - Childhood obesity study. Refer to the Journal of...Ch. 14.7 - Groundwater contamination of wells. Refer to the...Ch. 14.7 - The “name game.” Refer to the Journal of...Ch. 14.7 - 15.76 Taste testing scales. Refer to the Journal...Ch. 14.7 - 15.75 In business, do nice guys finish first or...Ch. 14.7 - 15.74 Food availability at middle schools. Refer...Ch. 14.7 - Pain empathy and brain activity. Refer to the...Ch. 14.7 - Public perceptions of health risks. Refer to the...Ch. 14 - Prob. 110UPCh. 14 - For each of the following, give the appropriate...Ch. 14 - 15.80 The data for three independent random...Ch. 14 - 15.81 A random sample of nine pairs of...Ch. 14 - 15.82 Two independent random samples produced the...Ch. 14 - 15.83 An experiment was conducted using a...Ch. 14 - Radioactive lichen. Refer to the Lichen...Ch. 14 - Prob. 118ACBCh. 14 - Prob. 119ACBCh. 14 - Prob. 120ACBCh. 14 - Prob. 121ACBCh. 14 - Extending the life of an aluminum smelter pot....Ch. 14 - 15.36 NHTSA new car crash tests. Refer to the...Ch. 14 - Prob. 124ACICh. 14 - Prob. 125ACICh. 14 - Prob. 126ACICh. 14 - Prob. 127ACICh. 14 - Prob. 128ACICh. 14 - Prob. 129ACICh. 14 - Prob. 130ACICh. 14 - Prob. 131ACICh. 14 - Prob. 132ACICh. 14 - Prob. 133ACICh. 14 - Prob. 134ACICh. 14 - Prob. 135ACICh. 14 - Prob. 136ACICh. 14 - Prob. 137ACICh. 14 - Prob. 138CTC
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