Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 1.4, Problem 14E
To determine
To explain: The reason of using replication in statistics.
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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 1 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 1.1 - Read the following on attendance and grades, and...Ch. 1.1 - Define statistics.Ch. 1.1 - What is a variable?Ch. 1.1 - What is meant by a census?Ch. 1.1 - How does a population differ from a sample?Ch. 1.1 - Explain the difference between descriptive and...Ch. 1.1 - Name three areas where probability is used.Ch. 1.1 - Why is information obtained from samples used more...Ch. 1.1 - What is meant by a biased sample?Ch. 1.1 - determine whether descriptive or inferential...
Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.1 - determine whether descriptive or inferential...Ch. 1.2 - Applying the Concepts 1-2 Fatal Transportation...Ch. 1.2 - Explain the difference between qualitative...Ch. 1.2 - Prob. 2ECh. 1.2 - Why are continuous variables rounded when they are...Ch. 1.2 - Name and define the four types of measurement...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are qualitative or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - determine whether the data are discrete or...Ch. 1.2 - give the boundaries of each value. 17. 24 feelCh. 1.2 - give the boundaries of each value. 18. 6.3...Ch. 1.2 - give the boundaries of each value. 19. 143 milesCh. 1.2 - give the boundaries of each value. 20. 19.63 tonsCh. 1.2 - give the boundaries of each value. 21. 200.7 milesCh. 1.2 - give the boundaries of each value. 22. 19 quartsCh. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.2 - classify each as nominal-level, ordinal-level,...Ch. 1.3 - Applying the Concepts 13 American Culture and Drug...Ch. 1.3 - Name five ways that data can be collected.Ch. 1.3 - What is meant by sampling error and nonsampling...Ch. 1.3 - Why are random numbers used in sampling, and how...Ch. 1.3 - Name and define the four basic sampling methods.Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 510, define a population that may...Ch. 1.3 - For Exercises 5-10, define a population that may...Ch. 1.3 - indentify the sampling method that was used. 11....Ch. 1.3 - indentify the sampling method that was used. 12....Ch. 1.3 - indentify the sampling method that was used. 13....Ch. 1.3 - indentify the sampling method that was used. 14....Ch. 1.3 - indentify the sampling method that was used. 15....Ch. 1.3 - indentify the sampling method that was used. 16....Ch. 1.4 - Todays Cigarettes Vapor or electronic cigarettes...Ch. 1.4 - Explain the difference between an observational...Ch. 1.4 - Prob. 2ECh. 1.4 - List some advantages and disadvantages of an...Ch. 1.4 - List some advantages and disadvantages of an...Ch. 1.4 - What is the difference between an experimental...Ch. 1.4 - What is the difference between independent...Ch. 1.4 - Why are a treatment group and a control group used...Ch. 1.4 - Explain the Hawthorne effect.Ch. 1.4 - What is a confounding variable?Ch. 1.4 - Define the placebo effect in a statistical study.Ch. 1.4 - Prob. 11ECh. 1.4 - Why do researchers use randomization in...Ch. 1.4 - Prob. 13ECh. 1.4 - Prob. 14ECh. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - determine whether an observational study or an...Ch. 1.4 - identify the independent variable and the...Ch. 1.4 - identify the independent variable and the...Ch. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - suggest some confounding variables that the...Ch. 1.4 - For Exercises 2731, give a reason why the...Ch. 1.4 - Here is the whole truth about back pain.Ch. 1.4 - For Exercises 2731, give a reason why the...Ch. 1.4 - give a reason why the statement made might be...Ch. 1.4 - Prob. 31ECh. 1.4 - List the steps you should perform when conducting...Ch. 1.4 - Prob. 33ECh. 1.4 - Comment on the following statement, taken from a...Ch. 1.4 - In an ad for women, the following statement was...Ch. 1.4 - Prob. 36ECh. 1.4 - Prob. 37ECh. 1.4 - An ad for an exercise product stated: Using this...Ch. 1.4 - Prob. 39ECh. 1.4 - Just l capsule of Brand X can provide 24 hours of...Ch. 1.4 - Male children born to women who smoke during...Ch. 1.4 - Caffeine and Health In the 1980s, a study linked...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - state whether descriptive or inferential...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - Classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each as nominal-level, ordinal-level,...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as qualitative or...Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - classify each variable as discrete or continuous....Ch. 1 - give the boundaries of each value. 35. 56 yards.Ch. 1 - give the boundaries of each value. 36. 105.4...Ch. 1 - give the boundaries of each value. 37. 72.6 tons.Ch. 1 - give the boundaries of each value. 38. 9.54...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - classify each sample as random, systematic,...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - identify each study as being either observational...Ch. 1 - For Exercises 4952, identify the independent and...Ch. 1 - identify the independent and dependent variables...Ch. 1 - identify the independent and dependent variables...Ch. 1 - identify the independent and dependent variables...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - For Exercises 5358, explain why the claims of...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - explain why the claims of these studies might be...Ch. 1 - Determine whether each statement is true or false....Ch. 1 - Determine whether each statement is true or false....Ch. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Prob. 5CQCh. 1 - The height of basketball players is considered a...Ch. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Select the best answer. 9. What are the boundaries...Ch. 1 - Select the best answer. 10. A researcher divided...Ch. 1 - Prob. 11CQCh. 1 - Select the best answer. 12. A study that involves...Ch. 1 - Prob. 13CQCh. 1 - Two major branches of statistics are _____ and...Ch. 1 - Prob. 15CQCh. 1 - The group of all subjects under study is called...Ch. 1 - A group of subjects selected from the group of all...Ch. 1 - Three reasons why samples are used in statistics:...Ch. 1 - The four basic sampling methods are a. ______ b....Ch. 1 - Prob. 20CQCh. 1 - Prob. 21CQCh. 1 - For each statement, decide whether descriptive or...Ch. 1 - Classify each as nominal-level, ordinal-level,...Ch. 1 - Classify each variable as discrete or continuous....Ch. 1 - Give the boundaries of each. a. 32 minutes b. 0.48...
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