Stats
5th Edition
ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Chapter 8, Problem 51E
a.
To determine
Find whether the conditions for regression satisfied.
b.
To determine
Find whether there is an outlier and which data value is unusual.
c.
To determine
Interpret the value of
d.
To determine
Explain whether government leader encourage women to have fewer children if they want to increase life expectancy.
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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 8 Solutions
Stats
Ch. 8.3 - Prob. 1JCCh. 8.3 - Prob. 2JCCh. 8.3 - Prob. 3JCCh. 8.7 - 4. You want to model the relationship between the...Ch. 8.7 - Prob. 5JCCh. 8.7 - Prob. 6JCCh. 8 - Prob. 1ECh. 8 - 2. Revenue and talent cost A concert production...Ch. 8 - Prob. 3ECh. 8 - 4. Revenue and ticket sales The concert production...
Ch. 8 - Prob. 5ECh. 8 - 6. Stopping times Using data from 20 compact cars,...Ch. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - Prob. 10ECh. 8 - Prob. 11ECh. 8 - Prob. 12ECh. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - Prob. 17ECh. 8 - 18. TVs and life expectancy Recall the example of...Ch. 8 - Prob. 19ECh. 8 - Prob. 20ECh. 8 - 21. Marriage age 2015 Is there evidence that the...Ch. 8 - 22. Smoking 2014 The Centers for Disease Control...Ch. 8 - Prob. 23ECh. 8 - Prob. 24ECh. 8 - Prob. 25ECh. 8 - 26. Bad model? A student who has created a linear...Ch. 8 - Prob. 27ECh. 8 - Prob. 28ECh. 8 - 29. Oakland passengers 2016 The scatterplot below...Ch. 8 - Tracking hurricanes 2016 In Chapter 6, we saw data...Ch. 8 - Prob. 31ECh. 8 - 32. More unusual points Each of the following...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - 36. What’s the effect? A researcher studying...Ch. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - 40. Speed How does the speed at which you drive...Ch. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - Prob. 43ECh. 8 - Prob. 44ECh. 8 - 45. Gestation For humans, pregnancy lasts about...Ch. 8 - Prob. 46ECh. 8 - Prob. 47ECh. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - 58. Crowdedness In a Chance magazine article...Ch. 8 - Prob. 59ECh. 8 - Prob. 60ECh. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - Prob. 64ECh. 8 - *65. Brakes The following table shows stopping...Ch. 8 - *66. Pendulum A student experimenting with a...Ch. 8 - *68. Planets Here is a table of the 9 sun-orbiting...Ch. 8 - Prob. 69ECh. 8 - Prob. 70ECh. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Prob. 75ECh. 8 - Prob. 76ECh. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - 80. Tree growth A 1996 study examined the growth...
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