Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683744
Author: Larson
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 3T
Consider the population of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Select three random samples of five digits from this list. Find the average of each sample. Compare your results with the average of the entire population. Comment on your results. (Hint: To find the average, sum the data entries and divide the sum by the number of entries.)
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+
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Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
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
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
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0
0
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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?
Chapter 1 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 1.1 - In a survey of 1501 ninth to twelfth graders in...Ch. 1.1 - Determine whether each number describes a...Ch. 1.1 - A study of 1000 U.S. adults found that when they...Ch. 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 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Descriptive and Inferential Statistics Which part...Ch. 1.1 - Descriptive and Inferential Statistics Which part...Ch. 1.1 - Exercise and Cognitive Ability A study of 876...Ch. 1.1 - Increase in Obesity Rates A study shows that the...Ch. 1.1 - Sleep and Student Achievement A study shows the...Ch. 1.2 - The populations of several U.S. cities are shown...Ch. 1.2 - For each data set. determine whether the data are...Ch. 1.2 - For each data set, determine whether the data are...Ch. 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 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - The items below appear on a physician's intake...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Extending Concepts 33. Writing What is an inherent...Ch. 1.2 - Describe two examples of data sets for each of the...Ch. 1.2 - For more than 50 years. The Harris Poll has...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - For more than 50 years. The Harris Poll has...Ch. 1.3 - The Pennsylvania Game Commission conducted a study...Ch. 1.3 - Prob. 2TYCh. 1.3 - A company employs 79 people. Choose a simple...Ch. 1.3 - You want to determine the opinions of students...Ch. 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 - 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 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 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 - Allergy Drug A pharmaceutical company wants to...Ch. 1.3 - Dietary Supplement Researchers in Germany tested...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 - 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 - 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 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Open and Closed Questions Two types of survey...Ch. 1.3 - Natural Experiments Observational studies are...Ch. 1.3 - Prob. 1ACh. 1.3 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - Which part of the survey described in Exercise 3...Ch. 1 - Which part of the survey described in Exercise 4...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 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 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - In Exercises 21 and 22, two hundred students...Ch. 1 - In Exercises 21 and 22, two hundred students...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 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 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 - Determine whether each number describes a...Ch. 1 - Determine whether the data are qualitative or...Ch. 1 - Determine the level of measurement of the data...Ch. 1 - Determine whether the study is an observational...Ch. 1 - An experiment is performed to test the effects of...Ch. 1 - Identify the sampling technique used in each...Ch. 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 - Specify the minimum, maximum, and number of...Ch. 1 - Use the applet to repeat Example 3 on page 21....Ch. 1 - Identify the sampling technique used, and discuss...Ch. 1 - Determine whether the data are qualitative or...Ch. 1 - Determine whether the survey question is biased....Ch. 1 - Researchers surveyed 19,183 U.S. physicians,...Ch. 1 - When do you think smartphone payments will replace...Ch. 1 - Data Classification (a) What type of data do you...Ch. 1 - How They Did It When The Harris Poll did a similar...Ch. 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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