Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 1.3, Problem 28E
Identifying Sampling Techniques In Exercises 23–28, identify the sampling technique used, and discuss potential sources of bias (if any). Explain.
26. Every tenth person entering a mall is asked to name his or her favorite store.
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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: Picturing the World (6th Edition)
Ch. 1.1 - Prob. 1TYCh. 1.1 - Prob. 2TYCh. 1.1 - Prob. 3TYCh. 1.1 - How is a sample related to a population?Ch. 1.1 - Why is a sample used more often than a population?Ch. 1.1 - What is the difference between a parameter and a...Ch. 1.1 - What are the two main branches of statistics?Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...
Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - Prob. 11ECh. 1.1 - Prob. 12ECh. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.2 - Prob. 1TYCh. 1.2 - Prob. 2TYCh. 1.2 - Prob. 3TYCh. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - The items below appear on a physician's intake...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 1CSCh. 1.2 - Prob. 2CSCh. 1.2 - Prob. 3CSCh. 1.2 - Prob. 4CSCh. 1.2 - Prob. 5CSCh. 1.2 - Prob. 6CSCh. 1.2 - Prob. 7CSCh. 1.2 - Prob. 8CSCh. 1.3 - Prob. 1TYCh. 1.3 - Prob. 2TYCh. 1.3 - Prob. 3TYCh. 1.3 - Prob. 4TYCh. 1.3 - What is the difference between an observational...Ch. 1.3 - What is the difference between a census and a...Ch. 1.3 - What is the difference between a random sample and...Ch. 1.3 - What is replication in an experiment? Why is...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - Prob. 8ECh. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Random Number Table Use the sixth row of Table 1...Ch. 1.3 - Random Number Table Use the tenth row of Table 1...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Sleep Deprivation A researcher wants to study the...Ch. 1.3 - Using a Simple Random Sample Volunteers for an...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Prob. 27ECh. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Natural Experiments Observational studies are...Ch. 1.3 - Open and Closed Questions Two types of survey...Ch. 1.3 - Prob. 40ECh. 1.3 - Prob. 1ACh. 1.3 - In Exercises 14, identify the population and the...Ch. 1 - Prob. 1.1.1RECh. 1 - Prob. 1.1.2RECh. 1 - Prob. 1.1.3RECh. 1 - Prob. 1.1.4RECh. 1 - Prob. 1.1.5RECh. 1 - Prob. 1.1.6RECh. 1 - Which part of the survey described in Exercise 3...Ch. 1 - Prob. 1.1.8RECh. 1 - Prob. 1.1.9RECh. 1 - Prob. 1.1.10RECh. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - Prob. 1.2.15RECh. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - Prob. 1.2.18RECh. 1 - Prob. 1.3.19RECh. 1 - Prob. 1.3.20RECh. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Prob. 1.3.25RECh. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - You want to know the favorite spring break...Ch. 1 - A study of the dietary habits of 359,264 Korean...Ch. 1 - Prob. 1.3.29RECh. 1 - Determine whether each number describes a...Ch. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Determine whether the study is an observational...Ch. 1 - An experiment is performed to test the effects of...Ch. 1 - Prob. 5CQCh. 1 - Which technique used in Exercise 7 could lead to a...Ch. 1 - Determine whether you would take a census or use a...Ch. 1 - Determine whether each number describes a...Ch. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Identify the sampling technique used, and discuss...Ch. 1 - Prob. 4CTCh. 1 - Determine whether the survey question is biased....Ch. 1 - Prob. 6CTCh. 1 - Prob. 1RSRDCh. 1 - Prob. 2RSRDCh. 1 - Prob. 3RSRDCh. 1 - The SEC (Securities and Exchange Commission) is...Ch. 1 - A quality control department is testing 25...Ch. 1 - Consider the population of ten digits: 0, 1, 2, 3,...Ch. 1 - Consider the population of 41 whole numbers from 0...Ch. 1 - Use random numbers to simulate rolling a six-sided...Ch. 1 - Prob. 6TCh. 1 - Use random numbers to simulate tossing a coin 100...Ch. 1 - You tossed a coin 100 times and got 77 heads and...Ch. 1 - A political analyst would like to survey a sample...
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