Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
8th Edition
ISBN: 9781464158933
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 8.2, Problem 63E
(a)
To determine
To find: All the known quantities.
(b)
To determine
To find: The estimate of the difference between the proportion of teen gamers who played on gaming consoles and the proportion of adults who played on them.
(c)
To determine
To explain: If large-sample confidence interval for the difference between two proportions is appropriate to use or not.
(d)
To determine
To find: The 95% confidence interval for difference of proportions.
(e)
To determine
To find: The estimated difference and confidence interval in percentage
(f)
To determine
To explain: The effect of separate surveys of teen and adult gamers.
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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 8 Solutions
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
Ch. 8.1 - Prob. 1UYKCh. 8.1 - Prob. 2UYKCh. 8.1 - Prob. 3UYKCh. 8.1 - Prob. 4UYKCh. 8.1 - Prob. 5UYKCh. 8.1 - Prob. 6UYKCh. 8.1 - Prob. 7UYKCh. 8.1 - Prob. 8UYKCh. 8.1 - Prob. 9UYKCh. 8.1 - Prob. 10UYK
Ch. 8.1 - Prob. 11UYKCh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 38ECh. 8.2 - Prob. 45UYKCh. 8.2 - Prob. 46UYKCh. 8.2 - Prob. 47UYKCh. 8.2 - Prob. 48UYKCh. 8.2 - Prob. 49UYKCh. 8.2 - Prob. 50UYKCh. 8.2 - Prob. 51UYKCh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - Prob. 64ECh. 8.2 - Prob. 65ECh. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 69ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 70ECh. 8.2 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Prob. 75ECh. 8 - Prob. 76ECh. 8 - Prob. 77ECh. 8 - Prob. 94ECh. 8 - Prob. 79ECh. 8 - Prob. 80ECh. 8 - Prob. 81ECh. 8 - Prob. 82ECh. 8 - Prob. 83ECh. 8 - Prob. 84ECh. 8 - Prob. 85ECh. 8 - Prob. 86ECh. 8 - Prob. 87ECh. 8 - Prob. 88ECh. 8 - Prob. 89ECh. 8 - Prob. 90ECh. 8 - Prob. 95ECh. 8 - Prob. 96ECh. 8 - Prob. 97ECh. 8 - Prob. 98ECh. 8 - Prob. 99ECh. 8 - Prob. 92ECh. 8 - Prob. 93ECh. 8 - Prob. 78ECh. 8 - Prob. 100ECh. 8 - Prob. 101E
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