Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 6.3, Problem 25UP
To determine
State the central limit theorem.
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Could you please answer this question using excel.Thanks
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.
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate
it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have
on r?
Row 1
Row 2
13
149
25
36
41
60
62
78
S
205
122
195
173
133
197
24
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
r=0.164 (Round to three decimal places as needed.)
S
24
Chapter 6 Solutions
Statistics (13th Edition)
Ch. 6.1 - What is the difference between a population...Ch. 6.1 - What is a sampling distribution of a sample...Ch. 6.1 - 5.1 The probability distribution shown here...Ch. 6.1 - 5.3 Consider the population described by the...Ch. 6.1 - Refer to Exercise 6.5 and find E(x) = μ. Then use...Ch. 6.1 - Refer to Exercise 6.5. Assume that a random sample...Ch. 6.1 - In Example 6.3, we used the computer to generate...Ch. 6.2 - What is a point estimator of a population...Ch. 6.2 - What is the difference between a biased and...Ch. 6.2 - What is the MVUE for a parameter?
Ch. 6.2 - What are the properties of an ideal estimator?
Ch. 6.2 - 5.8 Consider the following probability...Ch. 6.2 - 5.9 Consider the following probability...Ch. 6.2 - 5.10 Consider the following probability...Ch. 6.2 - Refer to Exercise 6.5.
Show that is an unbiased...Ch. 6.2 - Refer to Exercise 6.5.
Find the sampling...Ch. 6.2 - Refer to Exercise 6.7, in which we found the...Ch. 6.3 - Prob. 21UPCh. 6.3 - How does the mean of the sampling distribution of...Ch. 6.3 - How does the standard deviation of the sampling...Ch. 6.3 - Another name given to the standard deviation of x̄...Ch. 6.3 - State the Central Limit Theorem.
Ch. 6.3 - Will the sampling distribution of x̄ always be...Ch. 6.3 - Suppose a random sample of n measurements is...Ch. 6.3 - Suppose a random sample of n = 25 measurements is...Ch. 6.3 - Consider the following probability...Ch. 6.3 - A random sample of n = 64 observations is drawn...Ch. 6.3 - A random sample of n = 100 observations is...Ch. 6.3 - 5.20 A random sample of n = 900 observations is...Ch. 6.3 - Open the applet Sampling Distributions. On the...Ch. 6.3 - Open the applet Sampling Distributions. On the...Ch. 6.3 - Corporate sustainability of CPA firms. Refer to...Ch. 6.3 - Voltage sags and swells. Refer to the Electrical...Ch. 6.3 - Physical activity of obese young adults. In a...Ch. 6.3 - Cost of unleaded fuel. According to the American...Ch. 6.3 - Requests to a Web server. In Exercise 5.10 (p....Ch. 6.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 6.3 - Tomato as a taste modifier. Miraculin is a protein...Ch. 6.3 - Uranium in the Earth’s crust. Refer to the...Ch. 6.3 - Critical part failures in NASCAR vehicles. Refer...Ch. 6.3 - Motivation of drug dealers. Refer to the Applied...Ch. 6.3 - Is exposure to a chemical in Teflon-coated...Ch. 6.3 - Characteristics of antiwar demonstrators. Refer to...Ch. 6.3 - Hand washing versus hand rubbing. Refer to the...Ch. 6.3 - Video game players and divided attention tasks....Ch. 6.4 - Suppose a random sample of n measurements is...Ch. 6.4 - Suppose a random sample of n = 500 measurements is...Ch. 6.4 - 5.38 A random sample of n = 80 measurements is...Ch. 6.4 - 5.39 A random sample of n = 250 measurements is...Ch. 6.4 - A random sample of n = 1,500 measurements is drawn...Ch. 6.4 - 5.41 Consider a population with values of x equal...Ch. 6.4 - Do social robots walk or roll? Refer to the...Ch. 6.4 - Paying for music downloads. According to a recent...Ch. 6.4 - Working on summer vacation. According to an...Ch. 6.4 - Superstitions survey. A Harris (Feb. 2013) poll...Ch. 6.4 - Crop damage by wild boars. Refer to the Current...Ch. 6.4 - Downloading “apps” to your cell phone. Refer to...Ch. 6.4 - Hotel guest satisfaction. Refer to the results of...Ch. 6.4 - Fingerprint expertise. Refer to the Psychological...Ch. 6 - Prob. 63UPCh. 6 - Prob. 64UPCh. 6 - Prob. 65UPCh. 6 - Prob. 66UPCh. 6 - Prob. 67UPCh. 6 - Prob. 68LMCh. 6 - Prob. 69LMCh. 6 - Prob. 70LMCh. 6 - Prob. 71LMCh. 6 - 5.56 A random sample of n = 500 observations is...Ch. 6 - 5.57 A random sample of n = 300 observations is...Ch. 6 - 5.58 Use a statistical software package to...Ch. 6 - 5.59 Use a statistical software package to...Ch. 6 - Suppose x equals the number of heads observed when...Ch. 6 - A random sample of size n is to be drawn from a...Ch. 6 - Salaries of travel managers. According to a 2012...Ch. 6 - Children’s attitudes toward reading. In the...Ch. 6 - Dentists’ use of laughing gas. According to the...Ch. 6 - Marital name changing. Refer to the Advances in...Ch. 6 - Violence and stress. Interpersonal violence (e.g.,...Ch. 6 - Research on eating disorders. Refer to The...Ch. 6 - Prob. 84ACICh. 6 - Prob. 85ACICh. 6 - Prob. 86ACICh. 6 - Prob. 87ACICh. 6 - Prob. 88ACICh. 6 - Prob. 89ACICh. 6 - Prob. 90ACACh. 6 - Prob. 91ACACh. 6 - 5.76 Soft-drink bottles. A soft-drink bottler...
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