Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 6, Problem 4E
a.
To determine
Draw a
b.
To determine
Find the direction of the association between the variables prices and capacity of external disk drives.
c.
To determine
Find the form of the association between the variables prices and capacity of external disk drives.
d.
To determine
Find the strength of the association between the variables prices and capacity of external disk drives.
e.
To determine
Find whether there is any outliers in the data of the price and capacity of external disk drives.
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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
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 6 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Prob. 4JCCh. 6.2 - Prob. 5JCCh. 6 - Association Suppose you were to collect data for...Ch. 6 - Association II Suppose you were to collect data...Ch. 6 - Bookstore sales Consider the following data from a...Ch. 6 - Prob. 4ECh. 6 - Prob. 5E
Ch. 6 - Correlation facts II If we assume that the...Ch. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Association III Suppose you were to collect data...Ch. 6 - Association IV Suppose you were to collect data...Ch. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Firing pottery A ceramics factory can fire eight...Ch. 6 - Coffee sales Owners of a new coffee shop tracked...Ch. 6 - Matching Here are several scatterplots. The...Ch. 6 - Matching II Here are several scatterplots. The...Ch. 6 - Prob. 21ECh. 6 - Car thefts The National Insurance Crime Bureau...Ch. 6 - Prob. 23ECh. 6 - Antidepressants A study compared the effectiveness...Ch. 6 - Streams and hard water In a study of streams in...Ch. 6 - Traffic headaches A study of traffic delays in 68...Ch. 6 - Cold nights Is there an association between time...Ch. 6 - Association V A researcher investigating the...Ch. 6 - Prob. 29ECh. 6 - Prob. 30ECh. 6 - Correlation errors Your Economics instructor...Ch. 6 - More correlation errors Students in the Economics...Ch. 6 - Height and reading A researcher studies children...Ch. 6 - Prob. 34ECh. 6 - Correlation conclusions I The correlation between...Ch. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Sample survey A polling organization is checking...Ch. 6 - Income and housing The Office of Federal Housing...Ch. 6 - Interest rates and mortgages 2015 Since 1985,...Ch. 6 - Fuel economy 2016 Here are engine size...Ch. 6 - Drug abuse A survey was conducted in the United...Ch. 6 - Prob. 43ECh. 6 - Burgers again In the previous exercise you...Ch. 6 - Prob. 45ECh. 6 - Second inning 2016 Perhaps fans are just more...Ch. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Thrills 2013 Since 1994, the Best Roller Coaster...Ch. 6 - Thrills II For the roller coaster data in Exercise...Ch. 6 - Prob. 51ECh. 6 - Vehicle weights The Minnesota Department of...Ch. 6 - Prob. 53ECh. 6 - Flights 2016 Here are the number of domestic...
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