EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 8220100546112
Author: MOWRY
Publisher: Cengage Learning US
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Textbook Question
Chapter 10.0A, Problem 10E
In Exercises 1-12, find the value of
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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.
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
survey of
5050
young professionals found that they spent an average of
$20.5620.56
when dining out, with a standard deviation of
$11.4111.41.
Can you conclude statistically that the population mean is greater than
$2323?
Use a 95% confidence interval.
Question content area bottom
Part 1
The 95% confidence interval is
left bracket nothing comma nothing right bracketenter your response here, enter your response here.
As
$2323
is
▼
of the confidence interval, we
▼
can
cannot
conclude that the population mean is greater than
$2323.
(Use ascending order. Round to four decimal places as needed.)
Chapter 10 Solutions
EBK MATHEMATICS: A PRACTICAL ODYSSEY
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 2ECh. 10.0A - Prob. 3ECh. 10.0A - Prob. 4ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 6ECh. 10.0A - Prob. 7ECh. 10.0A - Prob. 8ECh. 10.0A - Prob. 9ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12ECh. 10.0A - Prob. 13ECh. 10.0A - Prob. 14ECh. 10.0A - Prob. 15ECh. 10.0A - Prob. 16ECh. 10.0A - Prob. 17ECh. 10.0A - Prob. 18ECh. 10.0A - Prob. 19ECh. 10.0A - Prob. 20ECh. 10.0A - Prob. 21ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24ECh. 10.0A - Prob. 25ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27ECh. 10.0A - Prob. 28ECh. 10.0A - Prob. 29ECh. 10.0A - Prob. 30ECh. 10.0A - Prob. 31ECh. 10.0A - Prob. 32ECh. 10.0A - Prob. 33ECh. 10.0A - Prob. 34ECh. 10.0A - Prob. 35ECh. 10.0A - Prob. 36ECh. 10.0A - Prob. 37ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39ECh. 10.0A - Prob. 40ECh. 10.0A - Prob. 41ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43ECh. 10.0A - Prob. 44ECh. 10.0A - Prob. 45ECh. 10.0A - Prob. 46ECh. 10.0A - Prob. 47ECh. 10.0A - Prob. 48ECh. 10.0A - Prob. 49ECh. 10.0A - Prob. 50ECh. 10.0A - Prob. 51ECh. 10.0A - Prob. 52ECh. 10.0A - Prob. 53ECh. 10.0A - Prob. 54ECh. 10.0A - Prob. 55ECh. 10.0A - Prob. 56ECh. 10.0A - Prob. 57ECh. 10.0A - Prob. 58ECh. 10.0A - Prob. 59ECh. 10.0A - Prob. 60ECh. 10.0A - Prob. 61ECh. 10.0A - Prob. 62ECh. 10.0A - Prob. 63ECh. 10.0A - Prob. 64ECh. 10.0A - Prob. 65ECh. 10.0A - Prob. 66ECh. 10.0A - Prob. 67ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2ECh. 10.0B - Prob. 3ECh. 10.0B - Prob. 4ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6ECh. 10.0B - Prob. 7ECh. 10.0B - Prob. 8ECh. 10.0B - Prob. 9ECh. 10.0B - Prob. 10ECh. 10.0B - Prob. 11ECh. 10.0B - Prob. 12ECh. 10.0B - Prob. 13ECh. 10.0B - Prob. 14ECh. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16ECh. 10.0B - Prob. 17ECh. 10.0B - Prob. 18ECh. 10.0B - Prob. 19ECh. 10.0B - Prob. 20ECh. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22ECh. 10.0B - Prob. 23ECh. 10.0B - Prob. 24ECh. 10.0B - Prob. 25ECh. 10.0B - Prob. 26ECh. 10.0B - Prob. 27ECh. 10.0B - Prob. 28ECh. 10.0B - Prob. 29ECh. 10.0B - Prob. 30ECh. 10.0B - Prob. 31ECh. 10.0B - Prob. 32ECh. 10.0B - Prob. 33ECh. 10.0B - Prob. 34ECh. 10.0B - Prob. 35ECh. 10.0B - Prob. 36ECh. 10.0B - Prob. 37ECh. 10.0B - Prob. 38ECh. 10.0B - Prob. 39ECh. 10.0B - Prob. 40ECh. 10.0B - Prob. 41ECh. 10.0B - Prob. 42ECh. 10.0B - Prob. 43ECh. 10.0B - Prob. 44ECh. 10.0B - Prob. 45ECh. 10.0B - Prob. 46ECh. 10.0B - Prob. 47ECh. 10.0B - Prob. 48ECh. 10.0B - Prob. 49ECh. 10.0B - Prob. 50ECh. 10.0B - Prob. 51ECh. 10.0B - Prob. 52ECh. 10.0B - Prob. 53ECh. 10.0B - Prob. 54ECh. 10.0B - Prob. 55ECh. 10.0B - Prob. 56ECh. 10.0B - Prob. 57ECh. 10.0B - Prob. 58ECh. 10.0B - Prob. 59ECh. 10.0B - Prob. 60ECh. 10.0B - Prob. 61ECh. 10.0B - Prob. 62ECh. 10.0B - Prob. 63ECh. 10.0B - Prob. 64ECh. 10.0B - Prob. 65ECh. 10.0B - Prob. 66ECh. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68ECh. 10.0B - Prob. 69ECh. 10.0B - Prob. 70ECh. 10.0B - Prob. 71ECh. 10.0B - Prob. 72ECh. 10.0B - Prob. 73ECh. 10.0B - Prob. 74ECh. 10.0B - Prob. 75ECh. 10.0B - Prob. 76ECh. 10.0B - Prob. 77ECh. 10.0B - Prob. 78ECh. 10.0B - Prob. 79ECh. 10.0B - Prob. 80ECh. 10.0B - Prob. 81ECh. 10.0B - Prob. 82ECh. 10.0B - Prob. 83ECh. 10.0B - Prob. 84ECh. 10.0B - Prob. 85ECh. 10.0B - Prob. 86ECh. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15ECh. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8ECh. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26ECh. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33ECh. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31ECh. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.CR - In Exercise 1-3, find the value of x. x=log381Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CR
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