Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 11, Problem 11.119CTC
To determine
To fit: The costs
To identify: Which one of the models is recommended to predict the manufacturing labor costs.
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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 11 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 11.1 - In each case, graph the line that passes through...Ch. 11.1 - Give the slope and y-intercept for each of the...Ch. 11.1 - The equation for a straight line (deterministic...Ch. 11.1 - Refer to Exercise 11.3. Find the equations of the...Ch. 11.1 - Plot the following lines: a. y 4 + x b. y = 5 2x...Ch. 11.1 - Give the slope and y-intercept for each of the...Ch. 11.1 - Prob. 11.7LMCh. 11.1 - Prob. 11.8LMCh. 11.1 - If a straight-line probabilistic relationship...Ch. 11.1 - Congress voting on women's issues. The American...
Ch. 11.1 - Best-paid CEOs. Refer to Glassdoor Economic...Ch. 11.1 - Estimating repair and replacement costs of water...Ch. 11.1 - Forecasting movie revenues with Twitter. A study...Ch. 11.2 - The following table is similar to Table 11.2.It is...Ch. 11.2 - Refer to Exercise 11.14. After the least squares...Ch. 11.2 - Construct a scatterplot for the data in the...Ch. 11.2 - Consider the following pairs of measurements: a....Ch. 11.2 - Use the applet Regression by Eye to explore the...Ch. 11.2 - In business, do nice guys finish first or last?...Ch. 11.2 - State Math SAT scores. Refer to the data on...Ch. 11.2 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.2 - Repair and replacement costs of water pipes. Refer...Ch. 11.2 - Joint Strike Fighter program. The Joint Strike...Ch. 11.2 - Software millionaires and birthdays. In Outliers:...Ch. 11.2 - Prob. 11.24ACICh. 11.2 - Ranking driving performance of professional...Ch. 11.2 - Sweetness of orange juice. The quality of the...Ch. 11.2 - Forecasting movie revenues with Twitter. Marketers...Ch. 11.2 - Charisma of top-level leaders. According to a...Ch. 11.2 - Ran kings of research universities. Refer to the...Ch. 11.2 - Prob. 11.30ACACh. 11.3 - Visually compare the scatterplots shown below. If...Ch. 11.3 - Calculate SSE and s2 for each of the following...Ch. 11.3 - Suppose you fit a least squares line to 26 data...Ch. 11.3 - Refer to Exercise 11.14 (p. 629). Calculate SSE,...Ch. 11.3 - Do nice guys really finish last in business? Refer...Ch. 11.3 - State Math SAT scores. Refer to the simple linear...Ch. 11.3 - Prob. 11.37ACBCh. 11.3 - Prob. 11.38ACBCh. 11.3 - Prob. 11.39ACBCh. 11.3 - Prob. 11.40ACICh. 11.3 - Prob. 11.41ACICh. 11.3 - Sweetness of orange juice. Refer to the study of...Ch. 11.3 - Rankings of research universities. Refer to the...Ch. 11.3 - Life tests of cutting tools. To Improve the...Ch. 11.4 - Construct both a 95% and a 90% confidence interval...Ch. 11.4 - Consider the following pairs of observations: a....Ch. 11.4 - Refer to Exercise 11.46. Construct an 80% and a...Ch. 11.4 - Do the accompanying data provide sufficient...Ch. 11.4 - State Math SAT Scores. Refer to the SPSS simple...Ch. 11.4 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.4 - Prob. 11.51ACBCh. 11.4 - Prob. 11.52ACBCh. 11.4 - Estimating repair and replacement costs of water...Ch. 11.4 - Prob. 11.54ACBCh. 11.4 - Prob. 11.55ACICh. 11.4 - Beauty and electoral success. Are good looks an...Ch. 11.4 - Prob. 11.57ACICh. 11.4 - Prob. 11.58ACICh. 11.4 - Prob. 11.59ACICh. 11.4 - Prob. 11.60ACICh. 11.4 - Rankings of research universities. Refer to the...Ch. 11.4 - Prob. 11.62ACACh. 11.4 - Does elevation impact hitting performance in...Ch. 11.5 - Explain what each of the following sample...Ch. 11.5 - Describe the slope of the least squares line if a....Ch. 11.5 - Construct a scatterplot for each data set. Then...Ch. 11.5 - Calculate r2 for the least squares line in each of...Ch. 11.5 - Use the applet Correlation by Eye to explore the...Ch. 11.5 - In business, do nice guys finish first or last?...Ch. 11.5 - Going for it on fourth-down in the NFL Each week...Ch. 11.5 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.5 - RateMyProfessors.com. A popular Web site among...Ch. 11.5 - Last name and acquisition timing. Refer to the...Ch. 11.5 - Women in top management. An empirical analysis of...Ch. 11.5 - Prob. 11.74ACICh. 11.5 - Prob. 11.75ACICh. 11.5 - Prob. 11.76ACICh. 11.5 - Prob. 11.77ACICh. 11.5 - Prob. 11.78ACICh. 11.5 - Evaluation of an imputation method for missing...Ch. 11.5 - Prob. 11.80ACICh. 11.5 - Prob. 11.81ACACh. 11.6 - Consider the followings of measurements: a...Ch. 11.6 - Consider the pairs of measurements shown in the...Ch. 11.6 - In fitting a least squares line to n = 10 data...Ch. 11.6 - Prob. 11.86ACBCh. 11.6 - Prob. 11.87ACBCh. 11.6 - Prob. 11.88ACBCh. 11.6 - Prob. 11.89ACBCh. 11.6 - Prob. 11.90ACBCh. 11.6 - Prob. 11.91ACICh. 11.6 - Ranking driving performance of professional...Ch. 11.6 - Spreading rate of spilled liquid Refer to the...Ch. 11.6 - Removing nitrogen from toxic wastewater. Highly...Ch. 11.6 - Predicting quit rates In manufacturing The reasons...Ch. 11.6 - Life tests of cutting tools Refer to the data...Ch. 11.7 - Prices of recycled materials. Prices of recycled...Ch. 11.7 - Thickness of dust on solar cells. The performance...Ch. 11.7 - Management research In Africa. The editors of the...Ch. 11.7 - An MBAs work-life balance. The importance of...Ch. 11 - In fitting a least squares line ton= 15 data...Ch. 11 - Consider the following sample data. a. Construct a...Ch. 11 - Consider the following 10 data points. a. Plot the...Ch. 11 - Drug controlled-release rate study. The effect of...Ch. 11 - Metaskills and career management. Effective...Ch. 11 - Burnout of human services professionals. Emotional...Ch. 11 - Retaliation against company whistle-blowers....Ch. 11 - Extending the life of an aluminum smelter pot. An...Ch. 11 - Diamonds sold at retail. Refer to the Journal of...Ch. 11 - Sports news on local TV broadcasts. The Sports...Ch. 11 - Evaluating managerial success. An observational...Ch. 11 - Doctors and ethics. Refer to the Journal of...Ch. 11 - FCAT scores and poverty. In the state of Florida,...Ch. 11 - Monetary values of NFL teams. Refer to the Forbes...Ch. 11 - Evaluating a truck weigh-in-motion program. The...Ch. 11 - Energy efficiency of buildings. Firms conscious of...Ch. 11 - Forecasting managerial needs. Managers are an...Ch. 11 - Prob. 11.118ACACh. 11 - Prob. 11.119CTCCh. 11 - Prob. 11.120CTC
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