ALEKS 360 ESSENT. STAT ACCESS CARD
2nd Edition
ISBN: 9781266836428
Author: Navidi
Publisher: MCG
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Chapter 5.1, Problem 52E
To determine
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Check whether it is an expected gain or an expected loss.
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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 5 Solutions
ALEKS 360 ESSENT. STAT ACCESS CARD
Ch. 5.1 - 1. A family has three children. If the genders of...Ch. 5.1 - 2. Someone says that the following table shows the...Ch. 5.1 - Prob. 3CYUCh. 5.1 - 4. Following is the probability distribution of a...Ch. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - 8. Following is the probability distribution for...Ch. 5.1 - Prob. 9ECh. 5.1 - In Exercises 9–12, fill in each blank with the...
Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 19ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 21ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 29ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 31ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 33ECh. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - Prob. 35ECh. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - Prob. 39ECh. 5.1 - 40. Fill in the missing value so that the...Ch. 5.1 - 41. Put some air in your tires: Let X represent...Ch. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - 48. Pain: The General Social Survey asked 827...Ch. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - 51. Lottery: In the New York State Numbers...Ch. 5.1 - 52. Lottery: In the New York State Numbers...Ch. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.2 - 1. Determine whether X is a binomial random...Ch. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5ECh. 5.2 - In Exercises 5–7, fill in each blank with the...Ch. 5.2 - Prob. 7ECh. 5.2 - In Exercises 8–10, determine whether the statement...Ch. 5.2 - Prob. 9ECh. 5.2 - In Exercises 8–10, determine whether the statement...Ch. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - In Exercises 11–16, determine whether the random...Ch. 5.2 - Prob. 15ECh. 5.2 - In Exercises 11–16, determine whether the random...Ch. 5.2 - Prob. 17ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 19ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - 28. Take another guess: A student takes a...Ch. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - 32. What should I buy? A study conducted by the...Ch. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - 38. Stress at work: In a poll conducted by the...Ch. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - 9. At a cell phone battery plant, 5% of cell phone...Ch. 5 - Prob. 10CQCh. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - 6. Lottery tickets: Refer to Exercise 5. What is...Ch. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 1WAICh. 5 - Prob. 2WAICh. 5 - Prob. 3WAICh. 5 - Prob. 4WAICh. 5 - Prob. 5WAICh. 5 - Prob. 6WAICh. 5 - One of the most surprising probability...
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