EBK STATISTICS FOR BUSINESS & ECONOMICS
12th Edition
ISBN: 9780100460461
Author: Anderson
Publisher: YUZU
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Textbook Question
Chapter 1, Problem 5SE
Consider the data set in Table 1.7
- a. Compute the average endowment for the sample.
- b. Compute the average percentage of applicants admitted.
- c. What percentage of the schools have NCAA Division III varsity teams?
- d. What percentage of the schools have a City: Midsize campus setting?
TABLE 1.7 DATA FOR SEVEN COLLEGES AND UNIVERSITIES
| School | State | Campus Setting | Endowment ($ billions) | % Applicants Admitted | NCAA Division |
| Amherst College | Massachusetts | Town: Fringe | 1.7 | 18 | III |
| Duke | North Carolina | City: Midsize | 5.9 | 21 | I-A |
| Harvard University | Massachusetts | City: Midsize | 34.6 | 9 | I-AA |
| Swarthmore College | Pennsylvania | Suburb: Large | 1.4 | 18 | III |
| University of Pennsylvania | Pennsylvania | City: Large | 6.6 | 18 | I-AA |
| Williams College | Massachusetts | Town: Fringe | 1.9 | 18 | III |
| Yale University | Connecticut | City: Midsize | 22.5 | 9 | I-AA |
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 1 Solutions
EBK STATISTICS FOR BUSINESS & ECONOMICS
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