Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 2.2, Problem 33BB
Interpreting Effects of Outliers Refer to Data Set 30 “Aluminum Cans” in Appendix B for the axial loads of aluminum cans that are 0.0111 in. thick. An axial load is the force at which the top of a can collapses. The load of 504 lb is an outlier because it is very far away from all of the other values. Construct a frequency distribution that includes the value of 504 lb, and then construct another frequency distribution with the value of 504 lb excluded. In both cases, start the first class at 200 lb and use a class width of 20 lb. State a generalization about the effect of an outlier on a frequency distribution.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for
all k, and set Yn = max1
6. Show that, for any random variable, X, and a > 0,
L
P(x < X ≤ x+a) dx = a.
2015
15. This problem extends Problem 20.6. Let X, Y be random variables with finite
mean. Show that
(P(X ≤ x ≤ Y) - P(Y < x ≤ X))dx = E Y — E X.
Chapter 2 Solutions
Essentials of Statistics (5th Edition)
Ch. 2.2 - Frequency Distribution Table 2-2 on page 45 is a...Ch. 2.2 - Relative Frequency Distribution After construction...Ch. 2.2 - Do You Believe? In a Harris Interactive survey,...Ch. 2.2 - Analyzing a Frequency Distribution The...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...
Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Analysis of Last Digits Heights of statistics...Ch. 2.2 - Analysis of Last Digits Weights of respondents...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Interpreting Effects of Outliers Refer to Data Set...Ch. 2.2 - Number of Classes According to what is known as...Ch. 2.3 - Prob. 1BSCCh. 2.3 - Voluntary Response Sample The histogram in Figure...Ch. 2.3 - Small Data NASA provides these duration times (in...Ch. 2.3 - Normal Distribution When it refers to a normal...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Prob. 15BSCCh. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Back-to-Back Relative Frequency Histograms When...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.4 - Bar Chart and Pareto Chart A bar chart and a...Ch. 2.4 - Scatterplot What is a scatterplot? What type of...Ch. 2.4 - SAT Scores Listed below are SAT scores from a...Ch. 2.4 - SAT Scores Given that the data in Exercise 3 were...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Dotplots. In Exercises II and 12, construct the...Ch. 2.4 - Dotplots. In Exercises 11 and 12, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Back-to-Back Stemplots Exercise 19 in Section 2-3...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - A stemplot is created from the intervals (min)...Ch. 2 - In the California Daily 4 lottery, four digits...Ch. 2 - In an investigation of the travel costs of college...Ch. 2 - In an investigation of the relationship between...Ch. 2 - As a quality control manager at Sony, you find...Ch. 2 - What characteristic of a data set can be better...Ch. 2 - A histogram is to be constructed from the brain...Ch. 2 - Frequency Distribution of Brain Volumes Construct...Ch. 2 - Histogram of Brain Volumes Construct the histogram...Ch. 2 - Dotplot of California Lottery In the California...Ch. 2 - Stemplot of IQ Scores Listed below are the first...Ch. 2 - CO Emissions Listed below are the amounts (million...Ch. 2 - CO and NO Emissions Exercise 5 lists the amounts...Ch. 2 - Sports Equipment According to USA Today, the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - Grooming Time Listed below are times (minutes)...Ch. 2 - Histogram of Grooming Times Use the frequency...Ch. 2 - Stemplot of Grooming Times Use the data from...Ch. 2 - Technology Project It was noted in this section...Ch. 2 - Flight Planning Data Set 15 in Appendix B includes...Ch. 2 - Prob. 2FDDCh. 2 - Flight Planning Data Set 15 in Appendix B includes...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.arrow_forwardThroughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).arrow_forward16. Show that, if X and Y are independent random variables, such that E|X|< ∞, and B is an arbitrary Borel set, then EXI{Y B} = EX P(YE B).arrow_forward
- Proposition 1.1 Suppose that X1, X2,... are random variables. The following quantities are random variables: (a) max{X1, X2) and min(X1, X2); (b) sup, Xn and inf, Xn; (c) lim sup∞ X and lim inf∞ Xn- (d) If Xn(w) converges for (almost) every w as n→ ∞, then lim- random variable. → Xn is aarrow_forwardExercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward
- 8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License