Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 3.3, Problem 39BSC
To determine
To find: The standard deviationfor the frequency distribution of verbal IQ score of subject exposed to lead.
To compare: The standard deviation of the frequency distribution and actual standard deviation.
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The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in
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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.
Use the accompanying Grade Point Averages data to find 80%,85%, and 99%confidence intervals for the mean GPA.
view the Grade Point Averages data.
Gender College GPAFemale Arts and Sciences 3.21Male Engineering 3.87Female Health Science 3.85Male Engineering 3.20Female Nursing 3.40Male Engineering 3.01Female Nursing 3.48Female Nursing 3.26Female Arts and Sciences 3.50Male Engineering 3.00Female Arts and Sciences 3.13Female Nursing 3.34Female Nursing 3.67Female Education 3.45Female Engineering 3.17Female Health Science 3.28Female Nursing 3.25Male Engineering 3.72Female Arts and Sciences 2.68Female Nursing 3.40Female Health Science 3.76Female Arts and Sciences 3.72Female Education 3.44Female Arts and Sciences 3.61Female Education 3.29Female Nursing 3.20Female Education 3.80Female Business 3.26Male…
Chapter 3 Solutions
Elementary Statistics
Ch. 3.2 - Employment Data listed below are results from the...Ch. 3.2 - Average The web site IncomeTaxList.com lists the...Ch. 3.2 - Median In an editorial, the Poughkeepsie Journal...Ch. 3.2 - Prob. 4BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 8BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 10BSC
Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 14BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - Prob. 18BSCCh. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 5-20, find the (a) mean, (b) median,...Ch. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - Prob. 23BSCCh. 3.2 - In Exercises 21-24, find the mean and median for...Ch. 3.2 - Large Data Sots from Appendix B. In Exercises...Ch. 3.2 - Prob. 26BSCCh. 3.2 - Prob. 27BSCCh. 3.2 - Prob. 28BSCCh. 3.2 - Prob. 29BSCCh. 3.2 - In Exercises 29-32, find the mean of the data...Ch. 3.2 - Prob. 31BSCCh. 3.2 - In Exercises 29-32, find the mean of the data...Ch. 3.2 - Degrees of Freedom Carbon monoxide is measured in...Ch. 3.2 - Prob. 34BBCh. 3.2 - Trimmed Mean Because the mean is very sensitive to...Ch. 3.2 - Prob. 36BBCh. 3.2 - Prob. 37BBCh. 3.2 - Quadratic Mean The quadratic mean (or root mean...Ch. 3.2 - Prob. 39BBCh. 3.3 - Comparing Variation Which do you think has less...Ch. 3.3 - Correct Statements? Which of the following...Ch. 3.3 - Variation and Variance In statistics, how do the...Ch. 3.3 - Prob. 4BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 7BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 9BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 11BSCCh. 3.3 - Prob. 12BSCCh. 3.3 - Prob. 13BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 15BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 18BSCCh. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - In Exercises 5-20, find the range, variance, and...Ch. 3.3 - Prob. 21BSCCh. 3.3 - Prob. 22BSCCh. 3.3 - Prob. 23BSCCh. 3.3 - Prob. 24BSCCh. 3.3 - Prob. 25BSCCh. 3.3 - Prob. 26BSCCh. 3.3 - Prob. 27BSCCh. 3.3 - Prob. 28BSCCh. 3.3 - Prob. 29BSCCh. 3.3 - Estimating Standard Deviation with the Range Rule...Ch. 3.3 - Prob. 31BSCCh. 3.3 - Prob. 32BSCCh. 3.3 - Prob. 33BSCCh. 3.3 - Prob. 34BSCCh. 3.3 - Identifying Unusual Values with the Range Rule of...Ch. 3.3 - Prob. 36BSCCh. 3.3 - Prob. 37BSCCh. 3.3 - Finding Standard Deviation from a Frequency...Ch. 3.3 - Prob. 39BSCCh. 3.3 - Finding Standard Deviation from a Frequency...Ch. 3.3 - Prob. 41BSCCh. 3.3 - The Empirical Rule Based on Data Set 3 Body...Ch. 3.3 - Prob. 43BSCCh. 3.3 - Chebyshev's Theorem Based on Data Set 3 in...Ch. 3.3 - Why Divide by n 1? Let a population consist of...Ch. 3.3 - Prob. 46BBCh. 3.4 - z Scores James Madison, the fourth President of...Ch. 3.4 - Prob. 2BSCCh. 3.4 - Prob. 3BSCCh. 3.4 - Prob. 4BSCCh. 3.4 - Prob. 5BSCCh. 3.4 - Prob. 6BSCCh. 3.4 - Prob. 7BSCCh. 3.4 - Prob. 8BSCCh. 3.4 - Prob. 9BSCCh. 3.4 - Prob. 10BSCCh. 3.4 - Usual and Unusual Values.In Exercises 9-12,...Ch. 3.4 - Usual and Unusual Values.In Exercises 9-12,...Ch. 3.4 - Prob. 13BSCCh. 3.4 - Prob. 14BSCCh. 3.4 - Comparing Values.In Exercises 13-16, use z scores...Ch. 3.4 - Prob. 16BSCCh. 3.4 - Percentiles. In Exercises 17-20, use the following...Ch. 3.4 - Prob. 18BSCCh. 3.4 - Prob. 19BSCCh. 3.4 - Prob. 20BSCCh. 3.4 - Prob. 21BSCCh. 3.4 - Prob. 22BSCCh. 3.4 - Prob. 23BSCCh. 3.4 - Prob. 24BSCCh. 3.4 - Prob. 25BSCCh. 3.4 - Prob. 26BSCCh. 3.4 - Prob. 27BSCCh. 3.4 - Prob. 28BSCCh. 3.4 - Boxplots. In Exercises 29-32, use the given data...Ch. 3.4 - Prob. 30BSCCh. 3.4 - Prob. 31BSCCh. 3.4 - Boxplots. In Exercises 29-32, use the given data...Ch. 3.4 - Prob. 33BSCCh. 3.4 - Boxplots from Larger Data Sets In Appendix B. In...Ch. 3.4 - Prob. 35BSCCh. 3.4 - Boxplots from Larger Data Sets In Appendix B. In...Ch. 3.4 - Prob. 37BBCh. 3.4 - Prob. 38BBCh. 3 - Find the mean of these times that American...Ch. 3 - What is the median of the sample values listed in...Ch. 3 - Prob. 3CQQCh. 3 - The standard deviation of the sample values in...Ch. 3 - The taxi-in times for 48 flights that landed in...Ch. 3 - You plan to investigate the variation of taxi-in...Ch. 3 - Consider a sample taken from the population of all...Ch. 3 - Consider a sample taken from the population of all...Ch. 3 - Approximately what percentage of taxi-in times is...Ch. 3 - Prob. 10CQQCh. 3 - Ergonomics When designing an eye-recognition...Ch. 3 - z Score Using the sample data from Exercise 1,...Ch. 3 - Boxplot Using the same standing heights listed in...Ch. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Aircraft Design Engineers designing overhead bin...Ch. 3 - Prob. 9RECh. 3 - Moan or Median? A statistics class with 40...Ch. 3 - Designing Gloves An engineer is designing a...Ch. 3 - Frequency Distribution Use the hand lengths in...Ch. 3 - Histogram Use the frequency distribution from...Ch. 3 - Stemplot Use the hand lengths from Exercise 1 to...Ch. 3 - Descriptive Statistics Use the hand lengths in...Ch. 3 - Normal Distribution Instead of using the hand...Ch. 3 - Sampling Shortly after the World Trade Center...Ch. 3 - Prob. 8CRE
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