Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 10, Problem 13CRP
(i)
To determine
Identify the problem based on the scenario.
Find the level of significance.
State the null and alternative hypothesis.
(ii)
To determine
Find the sample test statistic.
(iii)
To determine
Find the P-value of the sample test statistic.
(iv)
To determine
Check whether the null hypothesis is rejected or fail to reject.
(v)
To determine
Interpret the conclusion in the context of the application.
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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 10 Solutions
Understandable Statistics: Concepts and Methods
Ch. 10.1 - Statistical Literacy In general, are chi-square...Ch. 10.1 - Statistical Literacy For chi-square distributions,...Ch. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Interpretation: Test of Independence Consider...Ch. 10.1 - Prob. 9PCh. 10.1 - For Problems 919, please provide the following...
Ch. 10.1 - Prob. 11PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 19PCh. 10.2 - Statistical Literacy For a chi-square...Ch. 10.2 - Prob. 2PCh. 10.2 - Statistical Literacy Explain why goodness-of-fit...Ch. 10.2 - Prob. 4PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 7PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.3 - Statistical Literacy Does the x distribution need...Ch. 10.3 - Critical Thinking The x distribution must be...Ch. 10.3 - Prob. 3PCh. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - Prob. 11PCh. 10.4 - Prob. 1PCh. 10.4 - Statistical Literacy When using the F distribution...Ch. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - For Problems 512, please provide the following...Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.5 - In each problem, assume that the distributions are...Ch. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 5PCh. 10.5 - Prob. 6PCh. 10.5 - Prob. 7PCh. 10.5 - Prob. 8PCh. 10.5 - Prob. 9PCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 6PCh. 10.6 - Prob. 7PCh. 10 - Prob. 1CRPCh. 10 - Prob. 2CRPCh. 10 - Prob. 3CRPCh. 10 - Prob. 4CRPCh. 10 - Prob. 5CRPCh. 10 - Before you solve Problems 514, first classify the...Ch. 10 - Prob. 7CRPCh. 10 - Prob. 8CRPCh. 10 - Prob. 9CRPCh. 10 - Prob. 10CRPCh. 10 - Prob. 11CRPCh. 10 - Prob. 12CRPCh. 10 - Prob. 13CRPCh. 10 - Prob. 14CRPCh. 10 - Prob. 1DHCh. 10 - Prob. 1LCCh. 10 - Prob. 2LCCh. 10 - Prob. 1UTCh. 10 - Prob. 2UTCh. 10 - Prob. 3UT
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