Business Statistics: A First Course (8th Edition)
8th Edition
ISBN: 9780135177785
Author: David M. Levine, Kathryn A. Szabat, David F. Stephan
Publisher: PEARSON
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Chapter 3, Problem 3.58CRP
An insurance company has the business objective of reducing the amount of time it takes to approve applications for life insurance. The approval process consists of underwriting, which includes a review of the application, a medical information bureau check, possible requests for additional medical information and medical exams, and a policy compilation stage, in which the policy pages are generated and sent for delivery. The ability to deliver approved policies to customers in a timely manner is critical to the profitability of this service, using the DCOVA framework you define the variable of interest as the total processing time in days. You collect the data by selecting a random sample of 27 approved policies during a period of one month. You organize the data collected in a worksheet and store them in INSURANCE:
- Calculate the mean,
median , firstquartile , and third quartile. - Calculate the
range ,interquartile range , variance, standard deviation, and coefficient of variation. - Construct a boxplot. Are the data skewed? If so, how?
- What would you tell a customer who wishes to purchase this type of insurance policy and asks how long the approval process takes?
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An insurance company has the business objective of reducing the amount of time it takes to approve applications for life insurance. The approval process consists of underwriting, which includes a review of the application, a medical information check, possible requests for additional medical information and medical exams, and a policy compilation stage in which the policy pages are generated and sent for delivery. The ability to deliver approved policies to customers in a timely manner is critical to the profitability of this service. During a period of one month, you collect a random sample of 27 approved policies, and the total processing time, in days, are:
73 19 16 64 28 28 31 90 61 56 31 56 22 18 45 48 17 18 17 91 92 64 50 51 69 16 17
In the past, the mean processing time was 45 days.
At the 5% level of significance, is there evidence that the mean processing time has changed from 45 days? What assumption about the population distribution is needed in order to conduct this test?
Federated South Insurance Company has developed a new screening program for selecting new sales agents. Their past experience indicates that 20% of the new agents hired fail to produce the minimum sales in their first year and are dismissed. Their ex- pectation is that this new screening program will reduce the percentage of failed new agents to 15% or less. If that occurs, they would save $1,000,000 in recruiting and training costs each year. At the end of the first year they want to develop an evaluation to determine if the new program is successful. The following questions are an important part of their re- search design.A total of 20 new agents were selected.a. If this group performs at the same level as past groups, what is the probability 17 or more success- fully meet their minimum sales goals in the first year?b. What is the probability 19 or more reach their min- imum sales goals given performance at the same level?c. If the program has actually increased the prob- ability of…
savings banks are permitted to sell life insurance. The approval process consists of underwriting, which includes a review of the application, a medical information bureau check, possible requests for additional medical information and medical exams, and a policy compilation stage, in which the policy pages are generated and sent to the bank for delivery. The ability to deliver approved policies to customers in a timely manner is critical to the profitability of this service to the bank. Using the DCOVA framework you define the variable of interest as the total processing time in days. You collect the data by selecting a random sample of 27 approved policies during a period of one month. You organize the data collected in a worksheet and store them in
73 19 16 64 28 28 31 90 60 56 31 56 22 18
45 48 17 17 17 91 92 63 50 51 69 16 17
a. Compute the mean, median.
b. Compute the range, variance, standard deviation, and coefficient of variation.
c. What would you tell a customer who enters…
Chapter 3 Solutions
Business Statistics: A First Course (8th Edition)
Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The set of data is from a sample of n = 7: 12 7 4...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - Wired, a magazine that delivers a glimpse into the...Ch. 3 - The operations manager of a plant that...Ch. 3 - According to the U.S. Census Bureau (census.gov),...Ch. 3 - The file MOBILESPEEO contains the overall download...Ch. 3 - The file AIRPORTRATING contains the of large and...Ch. 3 - The annual NFL Super Bowl is the most widely...
Ch. 3 - The ACCOUNTINGPARTNERS contains the number of...Ch. 3 - The file MOBILECOMMERCE contains the following...Ch. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 3.14ACCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Prob. 3.16ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.18ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.21LBCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.23LBCh. 3 - Prob. 3.24LBCh. 3 - The file ACCOUNTINGPARTNERS contains the number of...Ch. 3 - Prob. 3.26ACCh. 3 - The file HOTELAWAY contains the average room price...Ch. 3 - Prob. 3.29ACCh. 3 - Prob. 3.30ACCh. 3 - Prob. 3.31LBCh. 3 - The following is a set of data for a population...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - The file CIGARETTETAX contains the state cigarette...Ch. 3 - Prob. 3.36ACCh. 3 - The following is a set of data from a sample of n...Ch. 3 - The file CEREALS lists the calories and sugar, in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The file MOBILESPEED contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - Prob. 3.44CYUCh. 3 - Prob. 3.45CYUCh. 3 - What are the differences among the mean, median,...Ch. 3 - Prob. 3.47CYUCh. 3 - Prob. 3.48CYUCh. 3 - Prob. 3.49CYUCh. 3 - Prob. 3.50CYUCh. 3 - Prob. 3.51CYUCh. 3 - Prob. 3.52CYUCh. 3 - Prob. 3.53CYUCh. 3 - Prob. 3.54CYUCh. 3 - Prob. 3.55CYUCh. 3 - How do the covariance and the coefficient of...Ch. 3 - The download and upload speeds of a mobile data...Ch. 3 - An insurance company has the business objective of...Ch. 3 - Prob. 3.59CRPCh. 3 - Prob. 3.60CRPCh. 3 - Prob. 3.61CRPCh. 3 - Prob. 3.62CRPCh. 3 - Prob. 3.63CRPCh. 3 - Prob. 3.64CRPCh. 3 - Prob. 3.65CRPCh. 3 - Prob. 3.66CRPCh. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file PROPERTY TAXES contains the property...Ch. 3 - Prob. 3.69CRPCh. 3 - 311 is Chicagos web and phone portal for...Ch. 3 - How much do commuters living in or near cities...Ch. 3 - How do the mean credit scores of people living in...Ch. 3 - Prob. 3.74RWE
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