Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780136880882
Author: Robert Gould, Rebecca Wong
Publisher: PEARSON+
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Chapter 1, Problem 38SE
To determine
Determine whether it could be stated that the pedestrians in San Francisco are safer than in the Los Angeles, and if no, then determine what additional information is required to conclude that which city is safer.
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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.
You are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…
The population mean and standard deviation are given below. Find the required probability and determine whether the
given sample mean would be considered unusual.
For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5.
For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102
(Round to four decimal places as needed.)
Chapter 1 Solutions
Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Suppose you decided to code living...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Students who have accumulated fewer than 30...
Ch. 1 - Facebook Wall Posts (Example 2) A student shared...Ch. 1 - Age of Marriage A student did a survey on the age...Ch. 1 - Snacks Emmanuel, a student at a Los Angeles high...Ch. 1 - Movies A sample of students were questioned to...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Investigating Data (Example 4) A data set on Shark...Ch. 1 - Investigating Data Suppose a surfer wanted to...Ch. 1 - Hands (Example 5) A survey was done of men’s and...Ch. 1 - Hands-Biased A survey was done of men’s and...Ch. 1 - Finding and Using Percentages a. A statistics...Ch. 1 - Finding and Using Percentages a. A hospital...Ch. 1 - Women Find the frequency, proportion, and...Ch. 1 - Brown-Haired People Find the frequency,...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Occupation Growth (Example 6) The 2017 World...Ch. 1 - Chocolate Sales The 2017 World Almanac and Book of...Ch. 1 - Incarceration Rates (Example 7) The table gives...Ch. 1 - Population Density The accompanying table gives...Ch. 1 - Health Insurance The accompanying table gives the...Ch. 1 - Cable TV Subscriptions The accompanying table...Ch. 1 - Percentage of Elderly The projected U.S....Ch. 1 - Marriage and Divorce The marriage and divorce...Ch. 1 - Course Enrollment Rates Two sections of statistics...Ch. 1 - Prob. 38SECh. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - Vitamin C and Cancer The blog NHS Choices...Ch. 1 - Aloe Vera You can find many testimonials on the...Ch. 1 - Effects of Tutoring on Math Grades (Example 8) A...Ch. 1 - Treating Depression A doctor who believes strongly...Ch. 1 - Try Exercise and Language Learning (Example 9) In...Ch. 1 - Pneumonia Vaccine for Young Children A study...Ch. 1 - Does Fish Oil Lower Asthma Risk? The New England...Ch. 1 - Association between Glycemic Load and Acne? An...Ch. 1 - Milk and Cartilage (Example 10) Cartilage is a...Ch. 1 - Autism and MMR Vaccine An article by Wakefield et...Ch. 1 - Prob. 55SECh. 1 - Effect of Confederates on Compliance A study was...Ch. 1 - A Salad a Day Keeps Stroke Away? The Harvard Heart...Ch. 1 - Does Drinking Sugary Beverages Lead to Dementia?...Ch. 1 - Secondhand Smoke Exposure and Young Children...Ch. 1 - Prob. 60CRECh. 1 - Speeding Tickets College students who were drivers...Ch. 1 - Prob. 62CRECh. 1 - Writing: Vitamin D Describe the design of a...Ch. 1 - Writing: Strokes People who have had strokes are...Ch. 1 - Yoga and High-Risk Adolescents Can mindful yoga...Ch. 1 - Neurofeedback and ADHD Some studies have indicated...Ch. 1 - Virtual Reality and Fall Risk A study was...Ch. 1 - Ear Infections Babies 6 to 23 months of age with...Ch. 1 - Effects of Light Exposure A study carried out by...Ch. 1 - Scared Straight The idea of sending delinquents to...
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