Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Question
Chapter 13.3, Problem 5E
a.
To determine
To state: The hypotheses and identify the claim.
b.
To determine
To find: The critical value.
c.
To determine
To find: The test statistic value.
d.
To determine
To make: The decision.
e.
To determine
To summarize: The result.
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 203.8 ft and standard deviation 43.8 ft.
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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 13 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 13.1 - The following table lists the percentages of...Ch. 13.1 - Exercises 131 1. What is meant by nonparametric...Ch. 13.1 - When should nonparametric statistics be used?Ch. 13.1 - Prob. 3ECh. 13.1 - List the disadvantages of nonparametric...Ch. 13.1 - Prob. 5ECh. 13.1 - Explain what is meant by the efficiency of a...Ch. 13.1 - Prob. 7ECh. 13.1 - For Exercises 7 through 12, rank each set of data....Ch. 13.1 - For Exercises 7 through 12, rank each set of data....
Ch. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.2 - Clean Air An environmentalist suggests that the...Ch. 13.2 - Exercises 132 1. Why is the sign test the simplest...Ch. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - For Exercises 5 through 20, perform these steps....Ch. 13.2 - Prob. 6ECh. 13.2 - AID: 1825 | 12/01/2018 7. Annual Incomes for Men...Ch. 13.2 - Weekly Earnings of Women According to the Womens...Ch. 13.2 - Externships Fifty undergraduate students were...Ch. 13.2 - Lottery Ticket Sales A lottery outlet owner...Ch. 13.2 - Prob. 11ECh. 13.2 - Deaths due to Severe Weather A meteorologist...Ch. 13.2 - Prob. 13ECh. 13.2 - Television Viewers A researcher read that the...Ch. 13.2 - Prob. 15ECh. 13.2 - Exam Scores A statistics professor wants to...Ch. 13.2 - Prob. 17ECh. 13.2 - Effects of a Pill on Appetite A researcher wishes...Ch. 13.2 - Prob. 19ECh. 13.2 - Routine Maintenance and Defective Parts A...Ch. 13.2 - Prob. 21ECCh. 13.2 - Prob. 22ECCh. 13.2 - Prob. 23ECCh. 13.2 - 1, 8, 2, 6, 10, 15, 24, 33, 56, 41, 58, 54, 5, 3,...Ch. 13.2 - Prob. 25ECCh. 13.3 - School Lunch A nutritionist decided to see if...Ch. 13.3 - Prob. 1ECh. 13.3 - What is the parametric equivalent test for the...Ch. 13.3 - Prob. 3ECh. 13.3 - Lengths of Prison Sentences A random sample of men...Ch. 13.3 - Prob. 5ECh. 13.3 - Lifetimes of Handheld Video Games To test the...Ch. 13.3 - Prob. 7ECh. 13.3 - Winning Baseball Games For the years 19701993 the...Ch. 13.3 - Prob. 9ECh. 13.3 - Medical School Enrollments Random samples of...Ch. 13.3 - Prob. 11ECh. 13.3 - Student Participation in a Blood Drive Students in...Ch. 13.4 - Pain Medication A researcher decides to see how...Ch. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - For Exercises 3 and 4, find the sum of the signed...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - For Exercises 914, use the Wilcoxon signed-rank...Ch. 13.4 - Prob. 11ECh. 13.4 - For Exercises 914, use the Wilcoxon signed-rank...Ch. 13.4 - Prob. 13ECh. 13.4 - For Exercises 914, use the Wilcoxon signed-rank...Ch. 13.5 - Prob. 1ACCh. 13.5 - Prob. 1ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.5 - Prob. 3ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.5 - Prob. 5ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.5 - Prob. 7ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.5 - Prob. 9ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.5 - Prob. 11ECh. 13.5 - For Exercises 1 through 12, use the Kruskal-Wallis...Ch. 13.6 - Tall Trees As a biologist, you wish to see if...Ch. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - Prob. 3ECh. 13.6 - Prob. 4ECh. 13.6 - Prob. 5ECh. 13.6 - For Exercises 5 through 14, perform these steps....Ch. 13.6 - Prob. 7ECh. 13.6 - For Exercises 5 through 14, perform these steps....Ch. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - Prob. 11ECh. 13.6 - For Exercises 5 through 14, perform these steps....Ch. 13.6 - Prob. 13ECh. 13.6 - For Exercises 5 through 14, perform these steps....Ch. 13.6 - Prob. 15ECh. 13.6 - Daily Lottery Numbers Listed below are the daily...Ch. 13.6 - Prob. 17ECh. 13.6 - Random Numbers Random? A calculator generated...Ch. 13.6 - Prob. 19ECh. 13.6 - Gender of Shoppers Twenty shoppers are in a...Ch. 13.6 - Employee Absences A supervisor records the number...Ch. 13.6 - Skiing Conditions A ski lodge manager observes the...Ch. 13.6 - Prob. 23ECh. 13.6 - Prob. 25ECh. 13.6 - Speeding Tickets A police chief records the gender...Ch. 13.6 - Prob. 27ECh. 13.6 - Prob. 28ECh. 13.6 - Prob. 29ECCh. 13.6 - Prob. 30ECCh. 13.6 - Prob. 31ECCh. 13.6 - Prob. 32ECCh. 13.6 - Prob. 33ECCh. 13 - For Exercises 1 through 13, follow this procedure:...Ch. 13 - Prob. 13.2.2RECh. 13 - Prob. 13.2.3RECh. 13 - Record High Temperatures Shown here are the record...Ch. 13 - Hours Worked by Student Employees Student...Ch. 13 - Prob. 13.4.6RECh. 13 - Prob. 13.4.7RECh. 13 - Prob. 13.5.8RECh. 13 - Prob. 13.5.9RECh. 13 - Prob. 13.6.10RECh. 13 - Prob. 13.6.11RECh. 13 - NBA Scoring Leaders The scoring leaders for the...Ch. 13 - Prob. 13.6.13RECh. 13 - Prob. 13.6.14RECh. 13 - Prob. 1DACh. 13 - Prob. 2DACh. 13 - Prob. 3DACh. 13 - Determine whether each statement is true or false....Ch. 13 - Prob. 2CQCh. 13 - Determine whether each statement is true or false....Ch. 13 - Determine whether each statement is true or false....Ch. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - Complete the following statements with the best...Ch. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 16CQCh. 13 - Textbook Costs Samples of students majoring in law...Ch. 13 - Prob. 18CQCh. 13 - Prob. 19CQCh. 13 - Prob. 20CQCh. 13 - Prob. 21CQCh. 13 - Prob. 22CQCh. 13 - Prob. 23CQCh. 13 - Prob. 24CQCh. 13 - Prob. 25CQCh. 13 - Prob. 26CQ
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