Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134679259
Author: Bennett
Publisher: PEARSON
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Chapter 2, Problem 10CQ
To determine
Find the projected sixth-year net profit.
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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.
A population that is uniformly distributed between a=0and b=10 is given in sample sizes
50( ),
100( ),
250( ),
and
500( ).
Find the sample mean and the sample standard deviations for the given data. Compare your results to the average of means for a sample of size 10, and use the empirical rules to analyze the sampling error. For each sample, also find the standard error of the mean using formula given below.
Standard Error of the
Mean =sigma/Root
Complete the following table with the results from the sampling experiment.
(Round to four decimal places as needed.)
Sample Size
Average of 8 Sample Means
Standard Deviation of 8 Sample Means
Standard Error
50
100
250
500
A survey of
250250
young professionals found that
two dash thirdstwo-thirds
of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than
0.720.72?
Use a 95% confidence interval.
Question content area bottom
Part 1
The 95% confidence interval is
left bracket nothing comma nothing right bracket0.60820.6082, 0.72510.7251.
As
0.720.72
is
within the limits
of the confidence interval, we
cannot
conclude that the population proportion is less than
0.720.72.
(Use ascending order. Round to four decimal places as needed.)
Chapter 2 Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Ch. 2.1 - Qualitative versus Quantitative. What is the...Ch. 2.1 - Discrete versus Continuous. Distinguish between...Ch. 2.1 - Measurement Levels. What do we mean by data at the...Ch. 2.1 - Interval versus Ratio. Explain why temperatures on...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...
Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Qualitative versus Quantitative Data. In Exercises...Ch. 2.1 - Qualitative versus Quantitative Data. In Exercises...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Prob. 53ECh. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Prob. 55ECh. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.2 - Error Type. Distinguish between random errors and...Ch. 2.2 - Absolute and Relative. Distinguish between the...Ch. 2.2 - Accuracy and Precision. Distinguish between...Ch. 2.2 - Honest Numbers. Why can it be misleading to give...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - IRS. An IRS agent reviews tax returns to identify...Ch. 2.2 - Safe Air Travel. Before taking off, a pilot is...Ch. 2.2 - Technical Specifications. A smartphone battery is...Ch. 2.2 - Crime Statistics. Former New York City Police...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Minimizing Errors. Twenty-five people, including...Ch. 2.2 - Minimizing Errors. When a model 22F car battery is...Ch. 2.2 - Accuracy and Precision in Corvette Weight. A new...Ch. 2.2 - Accuracy and Precision in Height. Assume that your...Ch. 2.2 - Accuracy and Precision in Weight. Suppose your...Ch. 2.2 - Prob. 30ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Prob. 33ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Prob. 35ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.3 - Statistical Literacy and Critical Thinking...Ch. 2.3 - Percentage Difference. Distinguish between...Ch. 2.3 - Of versus More Than. Explain the difference...Ch. 2.3 - Percentage Points. Explain the difference between...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Concepts and Applications Fractions, Decimals,...Ch. 2.3 - Fractions, Decimals, Percentages. Express the...Ch. 2.3 - Percentage Practice. A study was conducted of...Ch. 2.3 - Percentage Practice. A study was conducted to...Ch. 2.3 - Percentage of Media commonly report survey...Ch. 2.3 - Percentage. A New York Times editorial criticized...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Margin of Error. A Gallup poll of 1012 American...Ch. 2.3 - Margin of Error. A Pew Research Center survey of...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - TV Share. A recent Super Bowl football game had a...Ch. 2.3 - Misleading Percentage. In a Gallup poll of 1236...Ch. 2.4 - Index Number. What is an index number? Briefly...Ch. 2.4 - CPI. What is the Consumer Price Index (CPI)? How...Ch. 2.4 - Inflation. In making price comparisons, why is it...Ch. 2.4 - CPI Change. If the CPI increases, must wages also...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Prob. 13ECh. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Coffee Index. In Exercises 1720, use the following...Ch. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Coffee Index. In Exercises 1720, use the following...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2.4 - Prob. 29ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2.4 - Prob. 31ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2 - Germs. In a Wakefield Research survey, 1003...Ch. 2 - Health Care Spending. Total spending on health...Ch. 2 - Prob. 3CRECh. 2 - Minimum Wage. The following table lists the...Ch. 2 - Braking reaction times of 36 randomly selected...Ch. 2 - What is the level of measurement of the values...Ch. 2 - Prob. 3CQCh. 2 - A researcher measures the braking reaction time of...Ch. 2 - Braking reaction times of 36 randomly selected...Ch. 2 - Recorded survey results include the states in...Ch. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Politics Who Benefited Most from Lower Tax Rates?...Ch. 2 - Prob. 1.2FCh. 2 - Prob. 1.3F
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