Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 9.5, Problem 78UP
To determine
Explain the procedure to find the population variances
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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.
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?
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.
Chapter 9 Solutions
Statistics (13th Edition)
Ch. 9.2 - Describe the sampling distribution of when the...Ch. 9.2 - 8.4 To use the t-statistic to test for a...Ch. 9.2 - Prob. 3UPCh. 9.2 - Prob. 4UPCh. 9.2 - A confidence interval for is (–10, –4). Which of...Ch. 9.2 - 8.3 In order to compare the means of two...Ch. 9.2 - Independent random samples of 100 observations...Ch. 9.2 - Assume that . Calculate the pooled estimator of ...Ch. 9.2 - 8.7 Independent random samples from normal...Ch. 9.2 - Two independent random samples have been selected,...
Ch. 9.2 - 8.9 Independent random samples of n1 = 233 and n2...Ch. 9.2 - 8.11 Independent random samples selected from two...Ch. 9.2 - 8.14 Shared leadership in airplane crews. Human...Ch. 9.2 - 8.13 Last name and acquisition timing. The speed...Ch. 9.2 - Effectiveness of teaching software. The U.S....Ch. 9.2 - Cognitive impairment of schizophrenics. A study of...Ch. 9.2 - Children’s recall of TV ads. Children’s recall and...Ch. 9.2 - Comparing taste test rating protocols. Taste...Ch. 9.2 - Bulimia study. The “fear of negative evaluation”...Ch. 9.2 - 8.12 Lobster trap placement. Refer to the Bulletin...Ch. 9.2 - Shopping vehicle and judgment. Refer to the...Ch. 9.2 - Do video game players have superior visual...Ch. 9.2 - 8.16 Drug content assessment. Refer to Exercise...Ch. 9.2 - Hygiene of handshakes, high five and fist bumps....Ch. 9.2 - How do you choose to argue? In Thinking and...Ch. 9.2 - 8.21 Does rudeness really matter in the workplace?...Ch. 9.2 - Prob. 27ACICh. 9.2 - 8.22 Service without a smile. “Service with a...Ch. 9.2 - Prob. 29ACACh. 9.2 - Prob. 30ACACh. 9.3 - In a paired difference experiment, when should the...Ch. 9.3 - What are the advantages of using a paired...Ch. 9.3 - True or False. In a paired difference...Ch. 9.3 - What conditions are required for valid...Ch. 9.3 - A paired difference experiment yielded nd pairs of...Ch. 9.3 - A paired difference experiment produced the...Ch. 9.3 - 8.28 The data for a random sample of six paired...Ch. 9.3 - 8 29 The data for a random sample of 10 paired...Ch. 9.3 - A paired difference experiment yielded the...Ch. 9.3 - 8.31 Summer weight-loss camp. Camp Jump Start is...Ch. 9.3 - 8.34 Packaging of a children’s health food. Refer...Ch. 9.3 - 8.33 Twinned drill holes. A traditional method of...Ch. 9.3 - Healing potential of handling museum objects. Does...Ch. 9.3 - Laughter among deaf signers. The Journal of Deaf...Ch. 9.3 - Prob. 45ACBCh. 9.3 - Settlement of shallow foundations. Structures...Ch. 9.3 - 8.39 Solar energy generation along highways. The...Ch. 9.3 - Estimating well scale deposits. Scale deposits can...Ch. 9.3 - 8.38 Acidity of mouthwash. Acid has been found to...Ch. 9.3 - Prob. 50ACICh. 9.3 - Prob. 51ACICh. 9.3 - Prob. 52ACICh. 9.3 - Prob. 53ACICh. 9.3 - Prob. 54ACACh. 9.4 - What conditions are required for valid...Ch. 9.4 - Prob. 56UPCh. 9.4 - Prob. 57UPCh. 9.4 - Prob. 58LMCh. 9.4 - Prob. 59LMCh. 9.4 - Independent random samples, each containing 800...Ch. 9.4 - Prob. 61LMCh. 9.4 - Prob. 62LMCh. 9.4 - Prob. 63ACBCh. 9.4 - 8.104 Is steak your favorite barbeque food? July...Ch. 9.4 - Prob. 65ACBCh. 9.4 - Influencing performance in a serial addition task....Ch. 9.4 - Web survey response rates. Response rates to Web...Ch. 9.4 - Planning-habits survey. American Demographics...Ch. 9.4 - 8.55 Salmonella in produce. Salmonella infection...Ch. 9.4 - Prob. 70ACICh. 9.4 - 8.54 Traffic sign maintenance. The Federal Highway...Ch. 9.4 - Prob. 72ACICh. 9.4 - Prob. 73ACICh. 9.4 - Prob. 74ACICh. 9.4 - Prob. 75ACICh. 9.4 - Religious symbolism in TV commercials. Gonzaga...Ch. 9.4 - Prob. 77ACACh. 9.5 - In determining the sample sizes for estimating μ1...Ch. 9.5 - Prob. 79UPCh. 9.5 - Prob. 80UPCh. 9.5 - Prob. 81LMCh. 9.5 - Prob. 82LMCh. 9.5 - Prob. 83LMCh. 9.5 - Prob. 84LMCh. 9.5 - Prob. 85ACBCh. 9.5 - Prob. 86ACBCh. 9.5 - Prob. 87ACBCh. 9.5 - Prob. 88ACBCh. 9.5 - Prob. 89ACBCh. 9.5 - Prob. 90ACICh. 9.5 - Prob. 91ACICh. 9.5 - Cable-TV home shoppers. All cable television...Ch. 9.5 - Prob. 93ACICh. 9.5 - Prob. 94ACICh. 9.5 - Prob. 95ACICh. 9.6 - Describe the sampling distribution of (s1)2/(s2)2...Ch. 9.6 - Prob. 97UPCh. 9.6 - Prob. 98UPCh. 9.6 - Prob. 99UPCh. 9.6 - Prob. 100LMCh. 9.6 - Prob. 101LMCh. 9.6 - Prob. 102LMCh. 9.6 - Prob. 103LMCh. 9.6 - 8.77 Specify the appropriate rejection region for...Ch. 9.6 - Prob. 105LMCh. 9.6 - Prob. 106LMCh. 9.6 - Prob. 107ACBCh. 9.6 - Prob. 108ACBCh. 9.6 - Prob. 109ACBCh. 9.6 - Bulimia study. Refer to Exercise 9.19 (p. 449)....Ch. 9.6 - Prob. 111ACBCh. 9.6 - Hygiene of handshakes, high fives, and fist bumps....Ch. 9.6 - Prob. 113ACICh. 9.6 - Prob. 114ACICh. 9.6 - Prob. 115ACICh. 9.6 - Prob. 116ACICh. 9.6 - Prob. 117ACICh. 9 - Prob. 118UPCh. 9 - Prob. 119UPCh. 9 - 8.90 Two independent random samples were selected...Ch. 9 - 8.91 Independent random samples were selected from...Ch. 9 - 8.92 Independent random samples were selected from...Ch. 9 - Prob. 123LMCh. 9 - Prob. 124LMCh. 9 - Prob. 125ACBCh. 9 - 8.101 NHTSA new car crash tests. Refer to the...Ch. 9 - Prob. 127ACBCh. 9 - Prob. 128ACBCh. 9 - Prob. 129ACBCh. 9 - Prob. 130ACBCh. 9 - Prob. 131ACBCh. 9 - Prob. 132ACBCh. 9 - Prob. 133ACBCh. 9 - Prob. 134ACBCh. 9 - Prob. 135ACBCh. 9 - Prob. 136ACBCh. 9 - Prob. 137ACICh. 9 - Prob. 138ACICh. 9 - Prob. 139ACICh. 9 - Prob. 140ACICh. 9 - Prob. 141ACICh. 9 - Prob. 142ACICh. 9 - Prob. 143ACICh. 9 - Prob. 144ACICh. 9 - Prob. 145ACICh. 9 - Prob. 146ACICh. 9 - Prob. 147ACICh. 9 - Prob. 148ACICh. 9 - Prob. 149ACACh. 9 - Prob. 150ACACh. 9 - Prob. 151CTCCh. 9 - Detection of rigged school milk prices. Each year,...
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