Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
13th Edition
ISBN: 9781305585317
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 53SE
Table 2.18 shows a portion of the data for a sample of 103 private colleges and universities. The complete data set is contained in the file named Colleges. The data include the name of the college or university, the year the institution was founded, the tuition and fees (not including room and board) for the most recent academic year, and the percentage of full time, first-time bachelor’s degree-seeking undergraduate students who obtain their degree in six years or less (The world Almanac, 2012).
- a. Construct a crosstabulation with Year Founded as the row variable and Tuition & Fees as the column variable. Use classes starting with 1600 and ending with 2000 in increments of 50 for Year Founded. For Tuition & Fees, use classes starting with 1 and ending 45000 in increments of 5000.
- b. Compute the row percentages for the crosstabulation in part (a).
- c. What relationship, if any, do you notice between Year Founded and Tuition & Fees?
TABLE 2.18 DATA FOR A SAMPLE OF PRIVATE COLLEGES AND UNIVERSITIES
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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
Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
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Ch. 2.2 - Consider the following data. a. Develop a...Ch. 2.2 - Consider the following frequency distribution....Ch. 2.2 - Construct a histogram for the data in exercise 12.Ch. 2.2 - Consider the following data. a. Construct a dot...Ch. 2.2 - Construct a stem-and-leaf display for the...Ch. 2.2 - Construct a stem-and-leaf display for the...Ch. 2.2 - Applications A doctors office staff studied the...Ch. 2.2 - CBSSports.com developed the Total Player Ratings...Ch. 2.2 - Based on the tons handled in a year, the ports...Ch. 2.2 - The London School of Economics and the Harvard...Ch. 2.2 - Fortune provides a list of Americas largest...Ch. 2.2 - entrepreneur magazine ranks franchises using...Ch. 2.2 - The DATAfile EngineeringSalary contains the median...Ch. 2.2 - Each year America.EDU ranks the best paying...Ch. 2.2 - The 2011 Cincinnati Flying Pig Half-Marathon (13.1...Ch. 2.3 - The following data are for 30 observations...Ch. 2.3 - The following observations are for two...Ch. 2.3 - The Daytona 500 is a 500-mile automobile race held...Ch. 2.3 - The following crosstabulation shows the average...Ch. 2.3 - Recently, management at Oak Tree Golf Course...Ch. 2.3 - The following crosstabulation shows the number of...Ch. 2.3 - Each year Forbes ranks the worlds most valuable...Ch. 2.3 - Refer to Table 2.12. a. Prepare a crosstabulation...Ch. 2.3 - The U.S. Department of Energys Fuel Economy Guide...Ch. 2.4 - The following 20 observations are for two...Ch. 2.4 - Consider the following data on two categorical...Ch. 2.4 - The following crosstabulation summarizes the data...Ch. 2.4 - A study on driving speed (miles per hour) and fuel...Ch. 2.4 - The Current Results website lists the average...Ch. 2.4 - People often wait until middle age to worry about...Ch. 2.4 - Smartphones are advanced mobile phones with...Ch. 2.4 - The Northwest regional manager of an outdoor...Ch. 2 - Approximately 1.5 million high school students...Ch. 2 - The DATAfile MedianHousehold contains the median...Ch. 2 - Data showing the population by state in millions...Ch. 2 - A startup companys ability to gain funding is a...Ch. 2 - Consumer complaints are frequently reported to the...Ch. 2 - The term Beta refers to a measure of a stocks...Ch. 2 - The U.S. Census Bureau serves as the leading...Ch. 2 - western University has only one womens softball...Ch. 2 - Fortune magazine publishes an annual survey of the...Ch. 2 - Table 2.18 shows a portion of the data for a...Ch. 2 - Refer to the data set in Table 2.18. a. Construct...Ch. 2 - Refer to the data set in Table 2.18. a. Construct...Ch. 2 - Refer to the data set in Table 2.18. a. Prepare a...Ch. 2 - Google has changed its strategy with regard to how...Ch. 2 - A zoo has categorized its visitors into three...Ch. 2 - Pelican Stores Pelican Stores, a division of...Ch. 2 - Motion Picture Industry The motion picture...Ch. 2 - Queen City Cincinnati, Ohio, also known as the...
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