EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Textbook Question
Chapter 2, Problem 40CE
Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances.
- a. Tally the data into a frequency distribution using $100 as a class interval and $0 as the starting point.
- b. Draw a cumulative frequency
polygon . - c. The bank considers any student with an ending balance of $400 or more a “preferred customer.” Estimate the percentage of preferred customers.
- d. The bank is also considering a service charge to the lowest 10% of the ending balances. What would you recommend as the cutoff point between those who have to pay a service charge and those who do not?
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 2 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
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Ch. 2 - A set of data consists of 45 observations between...Ch. 2 - A set of data consists of 230 observations between...Ch. 2 - A set of data contains 53 observations. The...Ch. 2 - Wachesaw Manufacturing Inc. produced the following...Ch. 2 - The Quick Change Oil Company has a number of...Ch. 2 - The manager of the BiLo Supermarket in Mt....Ch. 2 - The food services division of Cedar River...Ch. 2 - The annual imports of a selected group of...Ch. 2 - Mollys Candle Shop has several retail stores in...Ch. 2 - The following chart shows the number of patients...Ch. 2 - The following frequency distribution reports the...Ch. 2 - Prob. 18ECh. 2 - A sample of the hourly wages of 15 employees at...Ch. 2 - The following cumulative frequency and the...Ch. 2 - The cumulative frequency and the cumulative...Ch. 2 - The frequency distribution representing the number...Ch. 2 - Prob. 22ECh. 2 - Describe the similarities and differences of...Ch. 2 - Describe the similarities and differences between...Ch. 2 - Alexandra Damonte will be building a new resort in...Ch. 2 - Prob. 26CECh. 2 - A data set consists of 83 observations. How many...Ch. 2 - A data set consists of 145 observations that range...Ch. 2 - The following is the number of minutes to commute...Ch. 2 - The following data give the weekly amounts spent...Ch. 2 - A social scientist is studying the use of iPods by...Ch. 2 - David Wise handles his own investment portfolio,...Ch. 2 - You are exploring the music in your iTunes...Ch. 2 - The monthly issues of the Journal of Finance are...Ch. 2 - The following histogram shows the scores on the...Ch. 2 - The following chart summarizes the selling price...Ch. 2 - A chain of sport shops catering to beginning...Ch. 2 - The numbers of outstanding shares for 24 publicly...Ch. 2 - A recent survey showed that the typical American...Ch. 2 - Midland National Bank selected a sample of 40...Ch. 2 - Residents of the state of South Carolina earned a...Ch. 2 - A recent study of home technologies reported the...Ch. 2 - Merrill Lynch recently completed a study regarding...Ch. 2 - A total of 5.9% of the prime-time viewing audience...Ch. 2 - Refer to the following chart: a. What is the name...Ch. 2 - The following chart depicts the annual revenues,...Ch. 2 - Prob. 47CECh. 2 - Prob. 48CECh. 2 - One of the most popular candies in the United...Ch. 2 - The number of families who used the Minneapolis...Ch. 2 - Refer to the North Valley Real Estate data that...Ch. 2 - Prob. 52DACh. 2 - Refer to the Lincolnville School District bus...
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