Elementary Statistics (Text Only)
2nd Edition
ISBN: 9780077836351
Author: Author
Publisher: McGraw Hill
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Textbook Question
Chapter 7.1, Problem 35E
Find the z-score for which the area to its right is 0.84.
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In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience. a. Is this a binomial experiment? Why or why not? What is the probability that in a random sample of 2, no one has been abroad? b. What is the probability that in a random sample of 2, at least one has been abroad?
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.
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).
Brand & Model
Price ($)
Overall Score
Samsung Ultrabook NP900X3C-A01US
1250
83
Apple MacBook Air MC965LL/A
1300
83
Apple MacBook Air MD231LL/A
1200
82
HP ENVY 13-2050nr Spectre XT
950
79
Sony VAIO SVS13112FXB
800
77
Acer Aspire S5-391-9880 Ultrabook
1200
74
Apple MacBook Pro MD101LL/A
1200
74
Apple MacBook Pro MD313LL/A
1000
73
Dell Inspiron I13Z-6591SLV
700
67
Samsung NP535U3C-A01US
600
63
a. Select a scatter diagram with price as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship…
Chapter 7 Solutions
Elementary Statistics (Text Only)
Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - In Exercises 9-14, fill in each blank with the...Ch. 7.1 - Prob. 15ECh. 7.1 - In Exercises 15-18, determine whether the...Ch. 7.1 - In Exercises 15-18, determine whether the...Ch. 7.1 - In Exercises 15-18, determine whether the...
Ch. 7.1 - The following figure is a probability density...Ch. 7.1 - The following figure is a probability density...Ch. 7.1 - Find each of the shaded areas under the standard...Ch. 7.1 - Find each of the shaded areas under the standard...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve to...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the area under the standard normal curve that...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its left is...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-score for which the area to its right...Ch. 7.1 - Find the z-scores that bound the middle 50% of the...Ch. 7.1 - Find the z-scores that bound the middle 70% of the...Ch. 7.1 - Find the z-scores that bound the middle 80% of the...Ch. 7.1 - Find the z-scores that bound the middle 98% of the...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Symmetry: The area under the standard normal curve...Ch. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.2 - In Exercises 9-10, fill in each blank with the...Ch. 7.2 - In Exercises 9-10, fill in each blank with the...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - A normal population has mean =20 and standard...Ch. 7.2 - A normal population has mean =9 and standard...Ch. 7.2 - A normal population has mean =25 and standard...Ch. 7.2 - A normal population has mean =61 and standard...Ch. 7.2 - A normal population has mean =47 and standard...Ch. 7.2 - A normal population has mean =35 and standard...Ch. 7.2 - A normal population has mean =12 and standard...Ch. 7.2 - A normal population has mean =56 and standard...Ch. 7.2 - A normal population has mean =46 and standard...Ch. 7.2 - A normal population has mean =71 and standard...Ch. 7.2 - Check your blood pressure: In a recent study, the...Ch. 7.2 - Baby weights: According to a recent National...Ch. 7.2 - Check your blood pressure: The Centers for Disease...Ch. 7.2 - Baby weights: The weight of male babies less than...Ch. 7.2 - Fish story: According to a report by the U.S. Fish...Ch. 7.2 - Big chickens: According to thepoultrysite.com: the...Ch. 7.2 - Fish story: The U.S. Fish and Wildlife Service...Ch. 7.2 - Big chickens: A report on thepoulttysite.com...Ch. 7.2 - Radon: Radon is a naturally occurring radioactive...Ch. 7.2 - Electric bills: According to the U.S. Energy...Ch. 7.2 - Radon: Assume that radon measurements are normally...Ch. 7.2 - Electric bills: The U.S. Energy Information Agency...Ch. 7.2 - Tire lifetimes: The lifetime of a certain type of...Ch. 7.2 - Tree heights: Cherry trees in a certain orchard...Ch. 7.2 - Tire lifetimes: The lifetime of a certain type of...Ch. 7.2 - Tree heights: Cherry trees in a certain orchard...Ch. 7.2 - How much is in that can? The volume of beverage in...Ch. 7.2 - How much do you study? A survey among freshmen at...Ch. 7.2 - How much is in that can? The volume of beverage in...Ch. 7.2 - How much do you study? A survey among freshmen at...Ch. 7.2 - Precision manufacturing: A process manufactures...Ch. 7.2 - Exam grades: Scores on a statistics final in a...Ch. 7.2 - Precision manufacturing: A process manufactures...Ch. 7.2 - Prob. 50ECh. 7.2 - Tall men: Heights of men in a certain city are...Ch. 7.2 - Watch your speed: Speeds of automobiles on a...Ch. 7.2 - Contaminated wells: A study reported that the mean...Ch. 7.2 - Prob. 54ECh. 7.2 - Exam scores: Scores on an exam were normally...Ch. 7.2 - Prob. 56ECh. 7.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.3 - In Exercises 7 and 8, determine whether the...Ch. 7.3 - In Exercises 7 and 8, determine whether the...Ch. 7.3 - A sample of size 75 will be drawn from a...Ch. 7.3 - A sample of size 126 will be drawn from a...Ch. 7.3 - A sample of size 68 will be drawn from a...Ch. 7.3 - A sample of size 284 will be drawn from a...Ch. 7.3 - A sample of size 91 will be drawn from a...Ch. 7.3 - Prob. 14ECh. 7.3 - A sample of sue 20 will be drawn from a population...Ch. 7.3 - A sample of size 42 will be drawn from a...Ch. 7.3 - A sample of size 5 will be drawn from a normal...Ch. 7.3 - A sample of size 15 will be drawn from a...Ch. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Watch your cholesterol: The National Health and...Ch. 7.3 - TV sets: A Nielsen Company report states that the...Ch. 7.3 - Prob. 24ECh. 7.3 - Taxes: The Internal Revenue Service reports that...Ch. 7.3 - High-rent district: The Real Estate Group NY...Ch. 7.3 - Roller coaster ride: A roller coaster is being...Ch. 7.3 - Elevator ride: Engineers are designing a large...Ch. 7.3 - Annual income: The mean annual income for people...Ch. 7.3 - Going to work: An ABC News report stated that the...Ch. 7.3 - Eat our cereal: A cereal manufacturer claims that...Ch. 7.3 - Batters life: A battery manufacturer claims that...Ch. 7.3 - Prob. 33ECh. 7.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.4 - Prob. 6ECh. 7.4 - In Exercises 7 and 8, determine whether the...Ch. 7.4 - Prob. 8ECh. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - In Exercises 9-14, n is the sample size, p is the...Ch. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Coffee: The National Coffee Association reported...Ch. 7.4 - Smartphones: A new Research report indicated that...Ch. 7.4 - Student loans: The Institute for College Access...Ch. 7.4 - Prob. 18ECh. 7.4 - Government workers: The Bureau of Labor Statistics...Ch. 7.4 - Working two jobs: The Bureau of Labor Statistics...Ch. 7.4 - Future scientists: Education professionals refer...Ch. 7.4 - Blood pressure: High blood pressure has been...Ch. 7.4 - Pay your taxes: According to the Internal Revenue...Ch. 7.4 - Weekly paycheck: The Bureau of Labor Statistics...Ch. 7.4 - Kidney transplants: The Health Resources and...Ch. 7.4 - Hows your new car? The General Social Survey...Ch. 7.4 - Flawless tiles: A new process has been designed to...Ch. 7.5 - In Exercises 5 and 6, fill in each blank with the...Ch. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Google it: According to a report of the Nielsen...Ch. 7.5 - Big babies: The Centers for Disease Control and...Ch. 7.5 - High blood pressure: The National Health and...Ch. 7.5 - Stress at work: In a poll conducted by the General...Ch. 7.5 - Prob. 19ECh. 7.5 - Gardening: A gardener buys a package of seeds....Ch. 7.5 - The car is in the shop: Among automobiles of a...Ch. 7.5 - Genetics: Pea plants contain two genes for seed...Ch. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.6 - In Exercise 7, fill in each blank with the...Ch. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - Prob. 12ECh. 7.6 - Prob. 13ECh. 7.6 - The following histogram illustrates a sample. Is...Ch. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Drug concentrations: A sample of 10 people...Ch. 7.6 - Reading scores: A random sample of eight...Ch. 7.6 - Prob. 21ECh. 7.6 - Impure cans: A manufacturer of aluminum cans...Ch. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7 - Prob. 1CQCh. 7 - Find the area under the standard normal curve To...Ch. 7 - Find the z-score that has An area of 0.33 to its...Ch. 7 - Find the z-scores that bound the middle 80% of the...Ch. 7 - Find z0.15.Ch. 7 - Suppose that salaries of recent graduates from a...Ch. 7 - A normal population has mean =242 and standard...Ch. 7 - Suppose that in a bowling league, the scores among...Ch. 7 - State the Central Limit Theorem.Ch. 7 - A population has mean =193 and standard deviation...Ch. 7 - The running time for videos submitted to YouTube...Ch. 7 - A sample of size n=55 is drawn from a population...Ch. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Find the area: Find the area under the standard...Ch. 7 - Find the z-score: Find the z-score for which the...Ch. 7 - Your battery is dead: The lifetimes of a certain...Ch. 7 - Take your medicine: Medication used to treat a...Ch. 7 - Lightbulbs: The lifetime of lightbulbs has a mean...Ch. 7 - Prob. 6RECh. 7 - Pay your taxes: Among all the state income tax...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Facebook: Eighty percent of the students at a...Ch. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Explain why P(aXb) is equal to P(aXb) when X is a...Ch. 7 - Prob. 2WAICh. 7 - Prob. 3WAICh. 7 - Suppose that in a large class, the instructor...Ch. 7 - Prob. 5WAICh. 7 - Prob. 6WAICh. 7 - Prob. 7WAICh. 7 - Compute the sample mean x and the sample standard...Ch. 7 - Estimate the population mean g with X and the...Ch. 7 - The shipment will be accepted if we estimate that...Ch. 7 - A second shipment of cans is received. Ten...Ch. 7 - Compute the sample mean x and the sample standard...Ch. 7 - Using the same method as for the first sample,...Ch. 7 - The shipment will be accepted if we estimate that...Ch. 7 - Make a boxplot of the pressures for the second...
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