Data Analysis

1.6 Consider the five homes in Table 1.1 (page 3). What do you think you would
have to pay for a Diamond model on a lake lot? For a Ruby model on a lake lot?
1.13 THE BANK CUSTOMER WAITING TIME CASE (please refer to page
19 from the e-book)
A bank manager has developed a new system to reduce the time customers spend
waiting to be served by tellers during peak business hours. Typical waiting times
during peak business hours under the current system are roughly 9 to 10 minutes.
The bank manager hopes that the new system will lower typical waiting times to
less than six minutes and wishes to evaluate the new system. When the new system
is operating consistently over time, the bank manager decides to select a sample of
100 customers that need teller service during peak business hours. Specifically, for
each of 100 peak business hours, the first customer that starts waiting for teller
service at or after a randomly selected time during the hour will be chosen. In
Exercise 7.5 (see page 271) we will discuss how to obtain a randomly selected time
during an hour. When each customer is chosen, the number of minutes the
customer spends waiting for teller service is recorded. The 100 waiting times that
are observed are given in Table 1.8. Using the data, estimate limits between which
the waiting times of most of the customers arriving during peak business hours
would be. Also, estimate the proportion of waiting times of customers arriving
during peak business hours that are less than six minutes.
1.18 (please Refer to page 21 from e-book)
Classify each of the following qualitative variables as ordinal or nominative.
Explain your answers. Qualitative Variable Personal computer operating system
Motion picture classifications Level of education Rankingsofthetop10college
football teams Exchange on which a stock is traded Zip code Categories DOS
Windows XP Windows Vista Windows 7 G PG PG-13 R NC-17 X Elementary
Middle school High school College Graduate school 1 2 3 4 5 6 7 8 9 10 AMEX
NYSE NASDAQ Other 45056 90015 etc.
2.67 (please refer to page 81 from e-book)
Develop a frequency distribution of the overall mechanical quality ratings.
Describe the distribution.
2.71 (please refer to page 81 from e-book)
Construct a contingency table of automobile origin versus overall mechanical
quality rating. Set up rows corresponding to the United States, the Pacific Rim
(Japan/Korea), and Europe (Germany/Great Britain/Sweden), and set up columns
corresponding to the ratings “among the best” through “the rest.” Describe any
apparent relationship between origin and overall mechanical quality rating.
2.83 (please refer to page 84 from e-book)
Figure 2.38 was used in various Chevrolet magazine advertisements in 1997 to
compare the overall resale values of Chevrolet, Dodge, and Ford trucks in the years
from 1990 to 1997. What is somewhat misleading about this graph?
3.55 (Please refer to page 146 from e-book)
Figure 3.25 gives five-number summaries comparing the base yearly salaries of
employees in marketing and employees in research for a large company. Interpret
these summaries.
3.59 (please refer to page 150 from e-book)
Internet Exercise
The Data and Story Library (DASL) houses a rich collection of data sets useful for
teaching and learning statistics, from a variety of sources, contributed primarily by
univer- sity faculty members. DASL can be reached through the BSC by clicking
on the Data Bases button in the BSC home screen and by then clicking on the Data
and Story Library link. The DASL can also be reached directly using the url
http://lib.stat.cmu.edu/DASL /. The objective of this exer- cise is to retrieve a data
set of chief executive officer salaries and to construct selected graphical and
numerical statistical summaries of the data. a From the McGraw-Hill/Irwin
Business Statistics Center Data Bases page, go to the DASL website and select
“List all topics.” From the Stories by Topic page, se- lect Economics, then CEO
Salaries to reach the CEO Salaries story. From the CEO Salaries story page, select
the Datafile Name: CEO Salaries to reach the Descriptive Statistics: Numerical
Methods data set page. The data set includes the ages and salaries (save for a single
missing observation) for a sample of 60 CEOs. Capture these observations and
copy them into an Excel or MINITAB worksheet. This data capture can be
accomplished in a number of ways. One simple approach is to use simple copy and
paste procedures from the DASL data set to Excel or MINITAB (data sets
CEOSal.xlsx, CEOSal.MTW). b Use your choice of statistical software to create
graph- ical and numerical summaries of the CEO Salaries data and use these
summaries to describe the data. In Excel, create a histogram of salaries and
generate de- scriptive statistics. In MINITAB, create a histogram, stem-and-leaf
display, box plot, and descriptive statis- tics. Offer your observations about typical
salary level, the variation in salaries, and the shape of the distribu- tion of CEO
salaries.

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