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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Textbook Question
Chapter 2.3, Problem 27E
The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2.
- a. Develop a crosstabulation for the data, with x as the row variable and y as the column variable.
- b. Compute the row percentages.
- c. Compute the column percentages.
- d. What is the relationship, if any, between x and y?
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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.
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).
Brand & Model
Price ($)
Overall Score
Samsung Ultrabook NP900X3C-A01US
1250
83
Apple MacBook Air MC965LL/A
1300
83
Apple MacBook Air MD231LL/A
1200
82
HP ENVY 13-2050nr Spectre XT
950
79
Sony VAIO SVS13112FXB
800
77
Acer Aspire S5-391-9880 Ultrabook
1200
74
Apple MacBook Pro MD101LL/A
1200
74
Apple MacBook Pro MD313LL/A
1000
73
Dell Inspiron I13Z-6591SLV
700
67
Samsung NP535U3C-A01US
600
63
a. Select a scatter diagram with price as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income ($1000s)
Reasonable Amount ofItemized Deductions ($1000s)
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
17.7
120
25.5
Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x
Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…
Chapter 2 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
Ch. 2.1 - The response to a question has three alternatives:...Ch. 2.1 - A partial relative frequency distribution is...Ch. 2.1 - A questionnaire provides 58 Yes, 42 No, and 20...Ch. 2.1 - For the 20102011 viewing season, the top five...Ch. 2.1 - In alphabetical order, the six most common last...Ch. 2.1 - Nielsen Media Research provided the list of the 25...Ch. 2.1 - The Canmark Research Center Airport Customer...Ch. 2.1 - Data for a sample of 55 members of the Baseball...Ch. 2.1 - Prob. 9ECh. 2.1 - Online Hotel Ratings. TripAdvisor is one of many...
Ch. 2.2 - Consider the following data. a. Develop a...Ch. 2.2 - Consider the following frequency distribution....Ch. 2.2 - Construct a histogram for the data in exercise 12....Ch. 2.2 - Consider the following data. a. Construct a dot...Ch. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - A doctor’s office staff studied the waiting times...Ch. 2.2 - CBSSports.com developed the Total Player Ratings...Ch. 2.2 - Based on the tons handled in a year, the ports...Ch. 2.2 - CEO Time in Meetings. The London School of...Ch. 2.2 - Prob. 21ECh. 2.2 - Top U.S. Franchises. Entrepreneur magazine ranks...Ch. 2.2 - The DATAfile EngineeringSalary contains the median...Ch. 2.2 - Each year America.EDU ranks the best paying...Ch. 2.2 - Prob. 26ECh. 2.3 - The following data are for 30 observations...Ch. 2.3 - The following observations are for two...Ch. 2.3 - Daytona 500 Automobile Makes Average Speeds. The...Ch. 2.3 - Daytona 500 Average Speeds of Winners. The...Ch. 2.3 - Recently, management at Oak Tree Golf Course...Ch. 2.3 - Household Income Levels. The following...Ch. 2.3 - Values of World’s Most Valuable Brands. Each year...Ch. 2.3 - Revenue of World’s Most Valuable Brands. Refer to...Ch. 2.3 - Prob. 35ECh. 2.4 - The following 20 observations are for two...Ch. 2.4 - Consider the following data on two categorical...Ch. 2.4 - The following crosstabulation summarizes the data...Ch. 2.4 - Driving Speed and Fuel Efficiency. A study on...Ch. 2.4 - The Current Results website lists the average...Ch. 2.4 - Hypertension and Heart Disease. People often wait...Ch. 2.4 - Smartphone Ownership. Consider the following...Ch. 2.4 - Store Managers Time Study. The Northwest regional...Ch. 2 - SAT Scores. The SAT is a standardized test used by...Ch. 2 - Median Household Incomes. The file MedianHousehold...Ch. 2 - State Populations. Data showing the population by...Ch. 2 - A startup companys ability to gain funding is a...Ch. 2 - Complaints Reported to BBB. Consumer complaints...Ch. 2 - The term Beta refers to a measure of a stocks...Ch. 2 - Education Level and Household Income. The U.S....Ch. 2 - Western University has only one womens softball...Ch. 2 - Best Places to Work. Fortune magazine publishes an...Ch. 2 - Prob. 53SECh. 2 - Colleges’ Year Founded and Percent Graduated....Ch. 2 - Colleges’ Year Founded and Cost. Refer to the data...Ch. 2 - Colleges’ Cost and Percent Graduated. Refer to the...Ch. 2 - Google has changed its strategy with regard to how...Ch. 2 - Zoo Member Types and Attendance. A zoo has...Ch. 2 - Pelican Stores, a division of National Clothing,...Ch. 2 - The movie industry is a competitive business. More...Ch. 2 - Cincinnati, Ohio, also known as the Queen City,...
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