An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.2, Problem 1Q
If a typist averages one misspelling in every 3250 words, what are the chances that a 6000-word report is free of all such errors? Answer the question two ways–first, by using an exact binomial analysis, and second, by using a Poisson approximation. Does the similarity (or dissimilarity) of the two answers surprise you? Explain.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
An article in Business Week discussed the large spread between the federal funds rate and the average credit card rate. The table below is a frequency distribution of
the credit card rate charged by the top 100 issuers.
Credit Card Rates
Credit Card Rate
Frequency
18% -23%
19
17% -17.9%
16
16% -16.9%
31
15% -15.9%
26
14% -14.9%
Copy Data
8
Step 1 of 2: Calculate the average credit card rate charged by the top 100 issuers based on the frequency distribution. Round your answer to two decimal places.
Chapter 4 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 4.2 - If a typist averages one misspelling in every 3250...Ch. 4.2 - A medical study recently documented that 905...Ch. 4.2 - Five hundred people are attending the first annual...Ch. 4.2 - A chromosome mutation linked with colorblindness...Ch. 4.2 - Suppose that 1% of all items in a supermarket are...Ch. 4.2 - A newly formed life insurance company has...Ch. 4.2 - According to an airline industry report (189),...Ch. 4.2 - Electromagnetic fields generated by power...Ch. 4.2 - Astronomers estimate that as many as one hundred...Ch. 4.2 - During the latter part of the nineteenth century,...
Ch. 4.2 - A random sample of three hundred fifty-six seniors...Ch. 4.2 - Midwestern Skies books ten commuter flights each...Ch. 4.2 - Prob. 13QCh. 4.2 - Prob. 14QCh. 4.2 - Prob. 15QCh. 4.2 - A tool and die press that stamps out cams used in...Ch. 4.2 - In a new fiber-optic communication system,...Ch. 4.2 - Assume that the number of hits, X, that a...Ch. 4.2 - Prob. 19QCh. 4.2 - Suppose a radioactive source is metered for two...Ch. 4.2 - Suppose that on-the-job injuries in a textile mill...Ch. 4.2 - Find P(X=4) if the random variable X has a Poisson...Ch. 4.2 - Prob. 23QCh. 4.2 - Prob. 24QCh. 4.2 - Prob. 25QCh. 4.2 - Prob. 26QCh. 4.2 - Records show that deaths occur at the rate of 0.1...Ch. 4.2 - Fifty spotlights have just been installed in an...Ch. 4.2 - Prob. 29QCh. 4.3 - Use Appendix Table A.1 to evaluate the following...Ch. 4.3 - Let Z be a standard normal random variable. Use...Ch. 4.3 - (a) Let 0ab. Which number is larger?...Ch. 4.3 - Prob. 4QCh. 4.3 - Assume that the random variable Z is described by...Ch. 4.3 - Prob. 6QCh. 4.3 - Prob. 7QCh. 4.3 - Hertz Brothers, a small, family-owned radio...Ch. 4.3 - Prob. 9QCh. 4.3 - State Techs basketball team, the Fighting...Ch. 4.3 - A random sample of 747 obituaries published...Ch. 4.3 - Prob. 12QCh. 4.3 - If pX(k)=(10k)(0.7)k(0.3)10k,k=0,1,10, is it...Ch. 4.3 - A sell-out crowd of 42,200 is expected at...Ch. 4.3 - A fair coin is tossed two hundred times. Let Xi=1...Ch. 4.3 - Suppose that one hundred fair dice are tossed....Ch. 4.3 - Let X be the amount won or lost in betting $5 on...Ch. 4.3 - Prob. 18QCh. 4.3 - An electronics firm receives, on the average,...Ch. 4.3 - Prob. 20QCh. 4.3 - Econo-Tire is planning an advertising campaign for...Ch. 4.3 - A large computer chip manufacturing plant under...Ch. 4.3 - Prob. 23QCh. 4.3 - Prob. 24QCh. 4.3 - A criminologist has developed a questionnaire for...Ch. 4.3 - The cross-sectional area of plastic tubing for use...Ch. 4.3 - At State University, the average score of the...Ch. 4.3 - A college professor teaches Chemistry 101 each...Ch. 4.3 - Suppose the random variable Y can be described by...Ch. 4.3 - It is estimated that 80% of all eighteen-year-old...Ch. 4.3 - Prob. 31QCh. 4.3 - Prob. 32QCh. 4.3 - The IQs of nine randomly selected people are...Ch. 4.3 - Let Y1,Y2,...,Yn be a random sample from a normal...Ch. 4.3 - A circuit contains three resistors wired in...Ch. 4.3 - Prob. 36QCh. 4.3 - Use moment-generating functions to prove the two...Ch. 4.3 - Let Y1,Y2,...,Y9 be a random sample of size 9 from...Ch. 4.3 - Prob. 39QCh. 4.4 - Because of her past convictions for mail fraud and...Ch. 4.4 - A teenager is trying to get a drivers license....Ch. 4.4 - Prob. 3QCh. 4.4 - Recently married, a young couple plans to continue...Ch. 4.4 - Show that the cdf for a geometric random variable...Ch. 4.4 - Suppose three fair dice are tossed repeatedly. Let...Ch. 4.4 - Prob. 7QCh. 4.4 - Sometimes the geometric random variable is defined...Ch. 4.4 - Prob. 9QCh. 4.4 - Suppose that the random variables X1 and X2 have...Ch. 4.5 - A door-to-door encyclopedia salesperson is...Ch. 4.5 - An underground military installation is fortified...Ch. 4.5 - Darryls statistics homework last night was to flip...Ch. 4.5 - When a machine is improperly adjusted, it has...Ch. 4.5 - For a negative binomial random variable whose pdf...Ch. 4.5 - Let the random variable X denote the number of...Ch. 4.5 - Calculate the mean, variance, and...Ch. 4.5 - Let X1,X2, and X3 be three independent negative...Ch. 4.5 - Differentiate the moment-generating function...Ch. 4.5 - Suppose that X1,X2,...,Xk are independent negative...Ch. 4.6 - An Arctic weather station has three electronic...Ch. 4.6 - A service contact on a new university computer...Ch. 4.6 - Suppose a set of measurements Y1,Y2,...,Y100 is...Ch. 4.6 - Demonstrate that plays the role of a scale...Ch. 4.6 - Show that a gamma pdf has the unique mode r1; that...Ch. 4.6 - Prove that (12)=. (Hint: Consider E(Z2)), where Z...Ch. 4.6 - Show that (72)=158.Ch. 4.6 - If the random variable Y has the gamma pdf with...Ch. 4.6 - Differentiate the gamma moment-generating function...Ch. 4.6 - Prob. 10Q
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
- Please could you check my answersarrow_forwardLet Y₁, Y2,, Yy be random variables from an Exponential distribution with unknown mean 0. Let Ô be the maximum likelihood estimates for 0. The probability density function of y; is given by P(Yi; 0) = 0, yi≥ 0. The maximum likelihood estimate is given as follows: Select one: = n Σ19 1 Σ19 n-1 Σ19: n² Σ1arrow_forwardPlease could you help me answer parts d and e. Thanksarrow_forward
- When fitting the model E[Y] = Bo+B1x1,i + B2x2; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX = 219 10232 3055 133899 133899 6725688, XTY 7361 337051 (XX)-- 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129, Construct a multiple linear regression model Yin terms of the explanatory variables 1,i, x2,i- a) What is the value of the least squares estimate of the regression coefficient for 1,+? Give your answer correct to 3 decimal places. B1 b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?arrow_forwardCalculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51-58 5 59-66 8 67-74 9 75-82 7 83-90 8arrow_forwardcan someone solvearrow_forward
- QUAT6221wA1 Accessibility Mode Immersiv Q.1.2 Match the definition in column X with the correct term in column Y. Two marks will be awarded for each correct answer. (20) COLUMN X Q.1.2.1 COLUMN Y Condenses sample data into a few summary A. Statistics measures Q.1.2.2 The collection of all possible observations that exist for the random variable under study. B. Descriptive statistics Q.1.2.3 Describes a characteristic of a sample. C. Ordinal-scaled data Q.1.2.4 The actual values or outcomes are recorded on a random variable. D. Inferential statistics 0.1.2.5 Categorical data, where the categories have an implied ranking. E. Data Q.1.2.6 A set of mathematically based tools & techniques that transform raw data into F. Statistical modelling information to support effective decision- making. 45 Q Search 28 # 00 8 LO 1 f F10 Prise 11+arrow_forwardStudents - Term 1 - Def X W QUAT6221wA1.docx X C Chat - Learn with Chegg | Cheg X | + w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894% QUAT6221wA1 Accessibility Mode பg Immer The following table indicates the unit prices (in Rands) and quantities of three consumer products to be held in a supermarket warehouse in Lenasia over the time period from April to July 2025. APRIL 2025 JULY 2025 PRODUCT Unit Price (po) Quantity (q0)) Unit Price (p₁) Quantity (q1) Mineral Water R23.70 403 R25.70 423 H&S Shampoo R77.00 922 R79.40 899 Toilet Paper R106.50 725 R104.70 730 The Independent Institute of Education (Pty) Ltd 2025 Q Search L W f Page 7 of 9arrow_forwardCOM WIth Chegg Cheg x + w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%. QUAT6221wA1 Accessibility Mode Immersi The following table indicates the unit prices (in Rands) and quantities of three meals sold every year by a small restaurant over the years 2023 and 2025. 2023 2025 MEAL Unit Price (po) Quantity (q0)) Unit Price (P₁) Quantity (q₁) Lasagne R125 1055 R145 1125 Pizza R110 2115 R130 2195 Pasta R95 1950 R120 2250 Q.2.1 Using 2023 as the base year, compute the individual price relatives in 2025 for (10) lasagne and pasta. Interpret each of your answers. 0.2.2 Using 2023 as the base year, compute the Laspeyres price index for all of the meals (8) for 2025. Interpret your answer. Q.2.3 Using 2023 as the base year, compute the Paasche price index for all of the meals (7) for 2025. Interpret your answer. Q Search L O W Larrow_forward
- QUAI6221wA1.docx X + int.com/:w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%7 26 QUAT6221wA1 Q.1.1.8 One advantage of primary data is that: (1) It is low quality (2) It is irrelevant to the purpose at hand (3) It is time-consuming to collect (4) None of the other options Accessibility Mode Immersive R Q.1.1.9 A sample of fifteen apples is selected from an orchard. We would refer to one of these apples as: (2) ھا (1) A parameter (2) A descriptive statistic (3) A statistical model A sampling unit Q.1.1.10 Categorical data, where the categories do not have implied ranking, is referred to as: (2) Search D (2) 1+ PrtSc Insert Delete F8 F10 F11 F12 Backspace 10 ENG USarrow_forwardepoint.com/:w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A 23;24; 25 R QUAT6221WA1 Accessibility Mode DE 2025 Q.1.1.4 Data obtained from outside an organisation is referred to as: (2) 45 (1) Outside data (2) External data (3) Primary data (4) Secondary data Q.1.1.5 Amongst other disadvantages, which type of data may not be problem-specific and/or may be out of date? W (2) E (1) Ordinal scaled data (2) Ratio scaled data (3) Quantitative, continuous data (4) None of the other options Search F8 F10 PrtSc Insert F11 F12 0 + /1 Backspaarrow_forward/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%7D&file=Qu Q.1.1.14 QUAT6221wA1 Accessibility Mode Immersive Reader You are the CFO of a company listed on the Johannesburg Stock Exchange. The annual financial statements published by your company would be viewed by yourself as: (1) External data (2) Internal data (3) Nominal data (4) Secondary data Q.1.1.15 Data relevancy refers to the fact that data selected for analysis must be: (2) Q Search (1) Checked for errors and outliers (2) Obtained online (3) Problem specific (4) Obtained using algorithms U E (2) 100% 高 W ENG A US F10 点 F11 社 F12 PrtSc 11 + Insert Delete Backspacearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
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
What Are Research Ethics?; Author: HighSchoolScience101;https://www.youtube.com/watch?v=nX4c3V23DZI;License: Standard YouTube License, CC-BY
What is Ethics in Research - ethics in research (research ethics); Author: Chee-Onn Leong;https://www.youtube.com/watch?v=W8Vk0sXtMGU;License: Standard YouTube License, CC-BY