Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4, Problem 138ACB
(a)
To determine
Find the
(b)
To determine
Compute the probability that at least one condones spanking as a regular form of punishment.
(c)
To determine
Calculate the mean and standard deviation of x and interpret the results.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
From a sample of 26 graduate students, the mean number of months of work experience prior to entering an MBA program was 34.67. The national standard deviation is known to be18 months. What is a 90% confidence interval for the population mean?
Question content area bottom
Part 1
A
9090%
confidence interval for the population mean is
left bracket nothing comma nothing right bracketenter your response here,enter your response here.
(Use ascending order. Round to two decimal places as needed.)
A test consists of 10 questions made of 5 answers with only one correct answer. To pass the test, a student must answer at least 8 questions correctly. (a) If a student guesses on each question, what is the probability that the student passes the test? (b) Find the mean and standard deviation of the number of correct answers. (c) Is it unusual for a student to pass the test by guessing? Explain.
Chapter 4 Solutions
Statistics (13th Edition)
Ch. 4.1 - What is a random variable?
Ch. 4.1 - How do discrete and continuous random variables...Ch. 4.1 - Type of Random Variable. Classify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - Type of Random Variable. Identify the following...Ch. 4.1 - 4.3 NHTSA crash tests. Refer to the National...Ch. 4.1 - 4.4 Customers in line at a Subway shop. The number...Ch. 4.1 - Sound waves from a basketball. Refer to the...Ch. 4.1 - Mongolian desert ants. Refer to the Journal of...Ch. 4.1 - Motivation of drug dealers. Refer to the Applied...
Ch. 4.1 - Psychology. Give an example of a discrete random...Ch. 4.1 - Sociology. Give an example of a discrete random...Ch. 4.1 - Nursing. Give an example of a discrete random...Ch. 4.1 - Art history. Give an example of a discrete random...Ch. 4.1 - Irrelevant speech effects. Refer to the Acoustical...Ch. 4.1 - Shaft graves in ancient Greece. Refer to the...Ch. 4.2 - Give three different ways of representing the...Ch. 4.2 - Consider the following probability...Ch. 4.2 - 4.11 A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - The random variable x has the discrete probability...Ch. 4.2 - 4.16 Toss three fair coins and let x equal the...Ch. 4.2 - Use the applet entitled Random Numbers to generate...Ch. 4.2 - Run the applet entitled Simulating the Probability...Ch. 4.2 - Size of TV households. According to Nielsen’s...Ch. 4.2 - 4.25 Do social robots walk or roll? Refer to the...Ch. 4.2 - NHTSA crash tests. Refer to the National Highway...Ch. 4.2 - Downloading apps to your cell phone. According to...Ch. 4.2 - Controlling the water hyacinth. An insect that...Ch. 4.2 - Gender in two-child families. Human Biology (Feb....Ch. 4.2 - Environmental vulnerability of amphibians. Many...Ch. 4.2 - The “last name” effect in purchasing. The Journal...Ch. 4.2 - Solar energy cells. According to the Earth Policy...Ch. 4.2 - 4.29 Contaminated gun cartridges. A weapons...Ch. 4.2 - Prob. 34ACICh. 4.2 - Prob. 35ACICh. 4.2 - Reliability of a manufacturing network. A team of...Ch. 4.2 - 4.38 Voter preferences for a committee. A...Ch. 4.2 - Prob. 38ACACh. 4.2 - Robot-sensor system configuration. Engineers at...Ch. 4.3 - What does the expected value of a random variable...Ch. 4.3 - Will E(x) always be equal to a specific value of...Ch. 4.3 - For a mound-shaped, symmetric distribution, what...Ch. 4.3 - Consider the probability distribution for the...Ch. 4.3 - 4.18 Consider the probability distribution for the...Ch. 4.3 - Consider the probability distributions shown...Ch. 4.3 - 4.17 Consider the probability distribution...Ch. 4.3 - NHTSA car crash tests. Refer to Exercise 4.26 (p....Ch. 4.3 - Downloading apps to your cell phone. Refer to the...Ch. 4.3 - Controlling the water hyacinth. Refer to the...Ch. 4.3 - Gender in two-child families. Refer to the Human...Ch. 4.3 - Environmental vulnerability of amphibians. Refer...Ch. 4.3 - Reliability of a manufacturing network. Refer to...Ch. 4.3 -
Beach erosional hot spots. Refer to the U.S....Ch. 4.3 - 4.36 Expected Lotto winnings. Most states offer...Ch. 4.3 -
Expected winnings in roulette. In the popular...Ch. 4.3 - 4.39 Parlay card betting. Odds makers try to...Ch. 4.4 - Give the five characteristics of a binomial random...Ch. 4.4 - Give the formula for p(x) for a binomial random...Ch. 4.4 - Consider the following binomial probability...Ch. 4.4 - Refer to Exercise 4.59.
Graph the probability...Ch. 4.4 - 4.40 Compute the following:
Ch. 4.4 - 4.42 Suppose x is a binomial random variable with...Ch. 4.4 - 4.43 If x is a binomial random variable, compute p...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - If x is a binomial random variable, use Table I in...Ch. 4.4 - 4.45 If x is a binomial random variable, calculate...Ch. 4.4 - 4.46 The binomial probability distribution is a...Ch. 4.4 - Applet Exercise 4.3
Use the applets Simulating the...Ch. 4.4 - Applet Exercise 4.4
Open the applet Sample from a...Ch. 4.4 - Prob. 4.5AECh. 4.4 - Working on summer vacation. An Adweek/Harris (July...Ch. 4.4 - Superstitions survey. Are Americans superstitious?...Ch. 4.4 - Where will you get your next pet? According to an...Ch. 4.4 - Chemical signals of mice. Refer to the Cell (May...Ch. 4.4 - Analysis of bottled water. Is the bottled water...Ch. 4.4 - Caesarian births. The American College of...Ch. 4.4 - 4.53 Fingerprint expertise. Refer to the...Ch. 4.4 - Hotel guest satisfaction. J. D. Power and...Ch. 4.4 - 4.52 Immediate feedback to incorrect exam answers....Ch. 4.4 - 4.54 Making your vote count. Refer to the Chance...Ch. 4.4 - Prob. 78ACICh. 4.4 - Victims of domestic abuse. According to...Ch. 4.4 - Prob. 80ACICh. 4.4 - Testing a psychic’s ESP. Refer to Exercise 3.101...Ch. 4.4 - Assigning a passing grade. A literature professor...Ch. 4.4 - Prob. 83ACACh. 4.4 - Does having boys run in the family? Chance (Fall...Ch. 4.5 - Give the four characteristics of a Poisson random...Ch. 4.5 - Consider a Poisson random variable with...Ch. 4.5 - Consider the Poisson probability distribution...Ch. 4.5 - Refer to Exercise 4.86.
Graph the probability...Ch. 4.5 - Refer to Exercise 4.87.
Graph the probability...Ch. 4.5 - 4.65 Given that x is a random variable for which a...Ch. 4.5 - Assume that x is a random variable having a...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - Suppose x is a random variable for which a Poisson...Ch. 4.5 - As mentioned in this section, when n is large, p...Ch. 4.5 - Eye fixation experiment. Cognitive scientists at...Ch. 4.5 - Noise in laser imaging. Penumbrol imaging is a...Ch. 4.5 - Spare line replacement units. The U.S. Department...Ch. 4.5 - 4.176 NASA and rare planet transits. A “planet...Ch. 4.5 - 4.71 Airline fatalities. Over the past 5 years,...Ch. 4.5 - 4.76 Traffic fatalities and sporting events. The...Ch. 4.5 - LAN videoconferencing. A network administrator is...Ch. 4.5 - 4.80 Making high-stakes insurance decisions. The...Ch. 4.5 - Davy Crockett’s use of words. Davy Crockett, a...Ch. 4.5 - 4.79 Flaws in plastic-coated wire. The British...Ch. 4.5 - 4.82 Waiting for a car wash. An automatic car wash...Ch. 4.5 - 4.83 Elevator passenger arrivals. A study of the...Ch. 4.6 - Explain the difference between sampling with...Ch. 4.6 - Give the characteristics of a hypergeometric...Ch. 4.6 - How do binomial and hypergeometric random...Ch. 4.6 - 4.64 Given that x is a hypergeometric random...Ch. 4.6 - 4.63 Given that x is a hypergeometric random...Ch. 4.6 - Prob. 112LMCh. 4.6 - Prob. 113LMCh. 4.6 - 4.68 Given that x is a hypergeometric random...Ch. 4.6 - 4.67 Suppose you plan to sample 10 items from a...Ch. 4.6 - 4.69 Do social robots walk or roll? Refer to the...Ch. 4.6 - Mail rooms contaminated with anthrax. In Chance...Ch. 4.6 - Prob. 118ACBCh. 4.6 - 4.183 On-site treatment of hazardous waste. The...Ch. 4.6 - 4.78 Guilt in decision making. The Journal of...Ch. 4.6 - 4.73 Contaminated gun cartridges. Refer to the...Ch. 4.6 - Lot inspection sampling. Imagine that you are...Ch. 4.6 - Prob. 123ACICh. 4.6 - Prob. 124ACICh. 4.6 - Establishing boundaries in academic engineering....Ch. 4.6 - Prob. 126ACACh. 4.6 - Awarding of home improvement grants. The...Ch. 4 - Prob. 128UPCh. 4 - 4.161 Identify the type of random...Ch. 4 - 4.156 For each of the following examples, decide...Ch. 4 - Prob. 131LMCh. 4 - Prob. 132LMCh. 4 - Prob. 133LMCh. 4 - Prob. 134LMCh. 4 - Prob. 135LMCh. 4 - Prob. 136ACBCh. 4 - Prob. 137ACBCh. 4 - Prob. 138ACBCh. 4 - Prob. 139ACBCh. 4 - Prob. 140ACBCh. 4 - Prob. 141ACBCh. 4 - Prob. 142ACBCh. 4 - Prob. 143ACBCh. 4 - Prob. 144ACBCh. 4 - Prob. 145ACBCh. 4 - Prob. 146ACICh. 4 - Extinct New Zealand birds. Refer to the...Ch. 4 - Student gambling on sports. A study of gambling...Ch. 4 - Parents’ behavior at a gym meet. Pediatric...Ch. 4 - 4.196 Testing for spoiled wine. Suppose that you...Ch. 4 - Prob. 151ACICh. 4 - Prob. 152ACICh. 4 - Chickens with fecal contamination. The United...Ch. 4 - Crime Watch neighborhood. In many cities,...Ch. 4 - 4.203 The showcase showdown. On the popular...Ch. 4 - 4.60 Network forensic analysis. A network forensic...Ch. 4 - 4.201 How many questionnaires to mail? The...Ch. 4 - 4.204 Reliability of a “one-shot” device. A...Ch. 4 - Emergency room bed availability. The mean number...Ch. 4 - Prob. 160CTC
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
- In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience. a. Is this a binomial experiment? Why or why not? What is the probability that in a random sample of 2, no one has been abroad? b. What is the probability that in a random sample of 2, at least one has been abroad?arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forwardTo help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012). Brand & Model Price ($) Overall Score Samsung Ultrabook NP900X3C-A01US 1250 83 Apple MacBook Air MC965LL/A 1300 83 Apple MacBook Air MD231LL/A 1200 82 HP ENVY 13-2050nr Spectre XT 950 79 Sony VAIO SVS13112FXB 800 77 Acer Aspire S5-391-9880 Ultrabook 1200 74 Apple MacBook Pro MD101LL/A 1200 74 Apple MacBook Pro MD313LL/A 1000 73 Dell Inspiron I13Z-6591SLV 700 67 Samsung NP535U3C-A01US 600 63 a. Select a scatter diagram with price as the independent variable. b. What does the scatter diagram developed in part (a) indicate about the relationship…arrow_forward
- To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1000s) Reasonable Amount ofItemized Deductions ($1000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…arrow_forwardK The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.68. The probability that the mean height for the sample is greater than 64 inches is (Round to four decimal places as needed.)arrow_forwardIn a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is 0.4. (Round to four decimal places as needed.) 20 2arrow_forward
- PEER REPLY 1: Choose a classmate's Main Post and review their decision making process. 1. Choose a risk level for each of the states of nature (assign a probability value to each). 2. Explain why each risk level is chosen. 3. Which alternative do you believe would be the best based on the maximum EMV? 4. Do you feel determining the expected value with perfect information (EVWPI) is worthwhile in this situation? Why or why not?arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forwardYou are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…arrow_forward
- The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)arrow_forward***Please do not just simply copy and paste the other solution for this problem posted on bartleby as that solution does not have all of the parts completed for this problem. Please answer this I will leave a like on the problem. The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forwardThe data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Bayes' Theorem 1: Introduction and conditional probability; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lQVkXfJ-rpU;License: Standard YouTube License, CC-BY
What is Conditional Probability | Bayes Theorem | Conditional Probability Examples & Problems; Author: ACADGILD;https://www.youtube.com/watch?v=MxOny_1y2Q4;License: Standard YouTube License, CC-BY
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=OByl4RJxnKA;License: Standard YouTube License, CC-BY
Bayes' Theorem - The Simplest Case; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=XQoLVl31ZfQ;License: Standard Youtube License