Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 2.2, Problem 2.5E
To determine
(a)
To find:
The frequency for the 45-under 55 class.
To determine
(b)
To find:
The lower and upper limits for the class 45-under 55.
To determine
(c)
To find:
The width for the class 45-under 55
To determine
(d)
To find:
The midpoint for the class 45-under 55.
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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 2 Solutions
Introduction to Business Statistics
Ch. 2.2 - What is a frequency distribution? What benefits...Ch. 2.2 - Prob. 2.2ECh. 2.2 - The National Safety Council reports the following...Ch. 2.2 - Prob. 2.4ECh. 2.2 - Prob. 2.5ECh. 2.2 - Using the frequency distribution in Exercisc 2.5,...Ch. 2.2 - What is meant by the statement that the set of...Ch. 2.2 - For commercial banks in each state, the U.S....Ch. 2.2 - The accompanying data describe the hourly wage...Ch. 2.2 - The following performance scores have been...
Ch. 2.2 - During his career in the NHL, hockey great Wayne...Ch. 2.2 - According to the U.S. Department of Agriculture,...Ch. 2.2 - Convert the distribution in Exercise 2.3 to a...Ch. 2.2 - Prob. 2.14ECh. 2.2 - Using the frequency distribution obtained in...Ch. 2.2 - For the frequency distribution constructed in...Ch. 2.2 - Prob. 2.17ECh. 2.2 - Prob. 2.18ECh. 2.2 - Prob. 2.19ECh. 2.3 - Construct a stem-and-leaf display for the...Ch. 2.3 - Prob. 2.21ECh. 2.3 - In the following stem-and-leaf display for a set...Ch. 2.3 - Prob. 2.23ECh. 2.3 - Prob. 2.24ECh. 2.3 - Prob. 2.25ECh. 2.3 - Prob. 2.26ECh. 2.3 - Prob. 2.28ECh. 2.4 - What is the difference between a histogram and a...Ch. 2.4 - Prob. 2.30ECh. 2.4 - Prob. 2.31ECh. 2.4 - Prob. 2.32ECh. 2.4 - Prob. 2.33ECh. 2.4 - Prob. 2.34ECh. 2.4 - It has been estimated that 92.9% of U.S....Ch. 2.4 - Prob. 2.37ECh. 2.5 - What is a scatterplot, and for what kind of data...Ch. 2.5 - Prob. 2.39ECh. 2.5 - Prob. 2.40ECh. 2.5 - Prob. 2.41ECh. 2.5 - For six local offices of a large tax prepartion...Ch. 2.5 - In the 2009 stress tests applied to the nation’s...Ch. 2.5 - Prob. 2.44ECh. 2.5 - Prob. 2.45ECh. 2.6 - Prob. 2.46ECh. 2.6 - Difference between simple tabulation and...Ch. 2.6 - Prob. 2.48ECh. 2.6 - For the fleet described in Exercise 2.48, a....Ch. 2.6 - Prob. 2.50ECh. 2.6 - Prob. 2.51ECh. 2.6 - Prob. 2.52ECh. 2.6 - Prob. 2.53ECh. 2.6 - Prob. 2.54ECh. 2 - The breakdown of U.S. cities having a population...Ch. 2 - The National Oceanic and Atmospheric...Ch. 2 - Prob. 2.57CECh. 2 - Prob. 2.58CECh. 2 - Prob. 2.59CECh. 2 - Prob. 2.60CECh. 2 - The following stem-and-leaf output has been...Ch. 2 - For the period 2001—2008, the lristol-Myers Squibb...Ch. 2 - Prob. 2.63CECh. 2 - Prob. 2.64CECh. 2 - Prob. 2.65CECh. 2 - Prob. 2.66CECh. 2 - Prob. 2.67CECh. 2 - Prob. 2.68CECh. 2 - Prob. 2.69CECh. 2 - Prob. 2.70CECh. 2 - Using 10-yard intervals beginning with 200.0—under...Ch. 2 - Using the same intervals as in part 1, construct a...Ch. 2 - Prob. 1.3IC
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