Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 15, Problem 13E
a.
To determine
Explain the consequences of the error.
b.
To determine
Explain the consequences of the error.
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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.
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.)
Chapter 15 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 15.2 - A research team wants to know if aspirin helps to...Ch. 15.2 - An allergy drug has been tested and found to give...Ch. 15.2 - The new drug is tested and the P-value is 0.0001....Ch. 15.4 - The research team that wants to know if aspirin...Ch. 15.4 - Prob. 5JCCh. 15.6 - Prob. 6JCCh. 15.6 - Prob. 7JCCh. 15.6 - Prob. 8JCCh. 15 - Better than aspirin? A very large study showed...Ch. 15 - Psychic A friend of yours claims to be psychic....
Ch. 15 - Parameters and hypotheses For each of the...Ch. 15 - Hypotheses and parameters As in Exercise 3, for...Ch. 15 - SECTION 15.2 5. Better than aspirin again?...Ch. 15 - GRE performance A test preparation company claims...Ch. 15 - SECTION 15.3 7. Hispanic origin According to the...Ch. 15 - Empty houses According to the 2010 Census, 11.4%...Ch. 15 - Prob. 9ECh. 15 - Marriage In 1960, census results indicated that...Ch. 15 - Prob. 11ECh. 15 - Golf balls The United States Golf Association...Ch. 15 - Prob. 13ECh. 15 - Prob. 14ECh. 15 - CHAPTER EXERCISES 15. Hypotheses Write the null...Ch. 15 - More hypotheses Write the null and alternative...Ch. 15 - Negatives After the political ad campaign...Ch. 15 - Dice The seller of a loaded die claims that it...Ch. 15 - Prob. 19ECh. 15 - Cars A survey investigating whether the proportion...Ch. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - Prob. 24ECh. 15 - Dowsing In a rural area, only about 30% of the...Ch. 15 - Abnormalities In the 1980s, it was generally...Ch. 15 - Prob. 27ECh. 15 - Educated mothers The National Center for Education...Ch. 15 - Contributions, please II We learned in Chapter 13,...Ch. 15 - Prob. 30ECh. 15 - Prob. 31ECh. 15 - Scratch and dent An appliance manufacturer...Ch. 15 - Prob. 33ECh. 15 - Football 2016 During the first 15 weeks of the...Ch. 15 - WebZine A magazine is considering the launch of an...Ch. 15 - Seeds A garden center wants to store leftover...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - Prob. 39ECh. 15 - Acid rain A study of the effects of acid rain on...Ch. 15 - Prob. 41ECh. 15 - TV ads A start-up company is about to market a new...Ch. 15 - Prob. 43ECh. 15 - Prob. 44ECh. 15 - Normal temperature again From the measurements of...Ch. 15 - Hot dogs again The nutrition lab in Chapter 14,...Ch. 15 - Prob. 47ECh. 15 - Computer lab fees again The technology committee...Ch. 15 - More Ruffles Recall from Chapter 14, Exercise 55...Ch. 15 - More Doritos We saw in Chapter 14, Exercise 56...Ch. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Maze Here are the data from the researcher...Ch. 15 - Facebook friends According to...Ch. 15 - Maze revisited A student resampled the Maze times...Ch. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Prob. 60E
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