Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
8th Edition
ISBN: 9781337114172
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 9.8, Problem 54E
Consider the following hypothesis test.
The
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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 9 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
Ch. 9.1 - 1. The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - 2. The manager of an automobile dealership is...Ch. 9.1 - A production line operation is designed to fill...Ch. 9.1 - Because of high production-changeover time and...Ch. 9.2 - Prob. 5ECh. 9.2 - 6. The label on a 3-quart container of orange...Ch. 9.2 - Carpet Salesperson Salaries. Carpetland...Ch. 9.2 - 8. Suppose a new production method will be...Ch. 9.3 - Consider the following hypothesis test: H0:20Ha:20...Ch. 9.3 - Consider the following hypothesis test:
A sample...
Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test: H0:50Ha:50...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Credit Card Use by Undergraduates. In a study...Ch. 9.3 - 17. The mean hourly wage for employees in...Ch. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prescription Drug Costs. Annual expenditure for...Ch. 9.3 - Cost of Telephone Surveys. Fowle Marketing...Ch. 9.3 - Time in Supermarket Checkout Lines. CCN and...Ch. 9.4 - Consider the following hypothesis test: H0:12Ha:12...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Consider the following hypothesis test: H0:45Ha:45...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Prob. 27ECh. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - 33. The mean annual premium for automobile...Ch. 9.4 - Prob. 34ECh. 9.5 - Consider the following hypothesis test:...Ch. 9.5 - Consider the following hypothesis test:
A sample...Ch. 9.5 - Prob. 37ECh. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Prob. 39ECh. 9.5 - Holiday Gifts from Employers. Last year, 46% of...Ch. 9.5 - 41. Ten years ago 53% of American families owned...Ch. 9.5 - Returned Merchandise. According to the University...Ch. 9.5 - Coupon Usage. Eagle Outfitters is a chain of...Ch. 9.5 - Malpractice Suits. One of the reasons health care...Ch. 9.5 - Prob. 45ECh. 9.7 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.7 - Consider the following hypothesis test.
A sample...Ch. 9.7 - Prob. 48ECh. 9.7 - Miles per Gallon. A consumer research group is...Ch. 9.7 - Age of Magazine Subscribers. Young Adult magazine...Ch. 9.7 - Length of Telephone Surveys. Refer to exercise 48....Ch. 9.7 - Employee Participation in Investment Plans. Sparr...Ch. 9.8 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.8 - Consider the following hypothesis test....Ch. 9.8 - Underfilling Packages of Coffee. Suppose the...Ch. 9.8 - Battery Life. A special industrial battery must...Ch. 9.8 - Mean Age of Magazine Subscribers. Young Adult...Ch. 9.8 - Automobile Mileage. An automobile mileage study...Ch. 9 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Prob. 62SECh. 9 - Prob. 63SECh. 9 - Prob. 64SECh. 9 - Prob. 65SECh. 9 - Residential Property Values. The chamber of...Ch. 9 - Prob. 67SECh. 9 - Prob. 68SECh. 9 - Using Laptops on Flights. An airline promotion to...Ch. 9 - Millennial Dependency on Parents. Members of the...Ch. 9 - Prob. 71SECh. 9 - Hotel Availability Over Holiday Weekend. A radio...Ch. 9 - Prob. 73SECh. 9 - Construction Worker Idle Time. Shorney...Ch. 9 - Federal Funding for Neighborhood Projects. A...Ch. 9 - Soap Production Process. H0: m = 120 and Ha: μ ≠...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Case problem 2 Ethical Behavior of Business...
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