ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
6th Edition
ISBN: 9781323845820
Author: Triola
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 5RE
Simple Random Sample Which of the following is/are simple random samples?
a. As Lipitor pills are being manufactured, a quality control plan is to select every 500th pill and test it to confirm that it contains 80 mg of atorvastatin.
b. To test for a gender difference in the way that men and women make online purchases, Gallup surveys 500 randomly selected men and 500 randomly selected women.
c. A list of all 10,877 adults in Trinity County, California, is obtained; the list is numbered from 1 to 10,877; and then a computer is used to randomly generate 250 different numbers between 1 and 10,877. The sample consists of the adults corresponding to the selected numbers.
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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
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?
Chapter 1 Solutions
ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
Ch. 1.1 - Online Medical Info USA Today posted this question...Ch. 1.1 - Reported Versus Measured In a survey of 1046...Ch. 1.1 - Statistical Significance Versus Practical...Ch. 1.1 - Correlation One study showed that for a recent...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...
Ch. 1.1 - Sampling Method. In Exercises 9-12, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.1 - Workplace Attire In a survey conducted by Opinion...Ch. 1.1 - Checking Job Applicants In a study conducted by...Ch. 1.1 - Marriage Proposals In a survey conducted by...Ch. 1.1 - Chillax USA Today reported results from a Research...Ch. 1.1 - Percentages in Advertising An ad for Big Skinny...Ch. 1.1 - Percentages in Advertising Continental Airlines...Ch. 1.1 - Percentages In Advertising A New York Times...Ch. 1.1 - Percentages in Negotiations When the author was...Ch. 1.1 - Whats Wrong with This Picture? The Newport...Ch. 1.1 - Falsifying Data A researcher at the...Ch. 1.2 - Parameter and Statistic In a Harris Interactive...Ch. 1.2 - Quantitative/Categorical Data Identify each of the...Ch. 1.2 - Discrete/Continuous Data Which of the following...Ch. 1.2 - Health Survey In a survey of 1020 adults in the...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2932, identify the level of...Ch. 1.2 - Social Security Numbers As part of a project in a...Ch. 1.2 - Temperatures As this exercise is being written, it...Ch. 1.2 - College Ranks As of this writing, U.S. News World...Ch. 1.2 - Countable For each of the following, categorize...Ch. 1.3 - Back Pain Treatment In a study designed to test...Ch. 1.3 - Blinding What does it mean when we say that the...Ch. 1.3 - Replication In what specific way was replication...Ch. 1.3 - Sampling Method The patients included in the study...Ch. 1.3 - Exercises 58 refer to the study of an association...Ch. 1.3 - Experiment or Observational Study Is the study an...Ch. 1.3 - Exercises 58 refer to the study of an association...Ch. 1.3 - Sampling Method Assume that the population...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - Prob. 30BBCh. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - Simple Random Sample vs. Random Sample Refer to...Ch. 1 - Hospitals In a study of births in New York State,...Ch. 1 - Hospitals Which of the following best describes...Ch. 1 - Birth Weights In the same study cited in Exercise...Ch. 1 - Birth Weights Are the birth weights described in...Ch. 1 - Birth Weights Which of the following best...Ch. 1 - Statistic /Parameter In an AARP survey of 1019...Ch. 1 - AARP Survey Refer to the survey described in...Ch. 1 - Observational Study or Experiment Are the data...Ch. 1 - Physicians Health Study In the Physicians Health...Ch. 1 - Sampling In a statistical study, which of the...Ch. 1 - Whats Wrong? In an American Optometric Association...Ch. 1 - Paying for First Dates USA Today posted this...Ch. 1 - Sample Design Literacy In Cardiovascular Effects...Ch. 1 - Divorces and Margarine One study showed that there...Ch. 1 - Simple Random Sample Which of the following is/are...Ch. 1 - Defense of Marriage Act Both of the following...Ch. 1 - Colleges in United States Currently, there are...Ch. 1 - Percentages a. The labels on U-Turn protein energy...Ch. 1 - Types of Data In each of the following, identify...Ch. 1 - Statistical Significance and Practical...Ch. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Tallest Person Robert Wadlow (19181940) is the...Ch. 1 - Body Temperature The given expression is used for...Ch. 1 - Determining Sample Size The given expression is...Ch. 1 - Standard Deviation One way to get a very rough...Ch. 1 - Standard Deviation The standard deviation is an...Ch. 1 - Standard Deviation The given expression is used to...Ch. 1 - Scientific Notation. In Exercises 912, the given...Ch. 1 - Scientific Notation. In Exercises 912, the given...Ch. 1 - Scientific Notation. In Exercise 912, the given...Ch. 1 - Prob. 12CRECh. 1 - Prob. 1TPCh. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...
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