Assignment 1 – Task 1
Refer to the
data set in Table 1.7 as shown below:
Excel File: data01-05.xls
a.
What is the average price for the
cordless telephones (to 2 decimals)?
$
b.
What is the average talk time for
the cordless telephones (to 3 decimals)?
hours
c.
What percentage of the cordless
telephones have a voice quality of excellent?
%
d.
What percentage of the cordless
telephones have a handset on the base?
%
Assignment 1 – Task 2
Exercise 01.07
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The Kroger Company is one of the
largest grocery retailers in the United States, with over 2000 grocery stores
across the country. Kroger uses an online customer opinion questionnaire to
obtain performance data about its products and services and learn about what
motivates its customers (Kroger website, April 2012). In the survey, Kroger
customers were asked if they would be willing to pay more for products that
had each of the following four characteristics. The four questions were:
Would you pay more for products that have a brand name? products that are environmentally
friendly? products that are organic? products that have been recommended
by others? For each question, the customers
had the option of responding yes if they would pay more or no if they would
not pay more. a. Is the data
collected by Kroger in this example categorical or quantitative? b. What measurement
scale is used?
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Assignment 1 – Task 3
Exercise 01.09
The Commerce Department reported receiving the following
applications for the Malcolm Baldrige National Quality Award: 23 from large
manufacturing firms, 18 from large service firms, and 30 from small businesses.
a. Is type
of business a categorical or quantitative variable?
b. What
percentage of the applications came from small businesses (to 1 decimal)?
%
Assignment 1 – Task 4
Exercise 01.11
In a
gallup telephone survey conducted on April 9–10, 2013, the person being
interviewed was asked if he would vote for a law in his state that would
increase the gas tax up to 20 cents a gallon, with the new gas tax money going
to improve roads and bridges and build more mass transportation in his state.
Possible responses were vote for, vote against, and no opinion. Two hundred
ninety five respondents said they would vote for the law, 672 said they would
vote against the law, and 51 said they had no opinion (gallup website, June 14,
2013).
a.
Do the responses for this question provide categorical or
quantitative data?
b.
What was the sample size for this gallup poll?
c.
What percentage of respondents would vote for a law increasing
the gas tax (to the nearest whole number)?
%
d.
Do the results indicate general support for or against
increasing the gas tax to improve roads and bridges and build more mass
transportation?
Assignment 1 – Task 5
Exercise 01.21
A seven-year medical research study reported that women whose
mothers took the drug DES during pregnancy were twice as likely to develop
tissue abnormalities that might lead to cancer as were women whose mothers did
not take the drug.
a. This
study compared two populations. What were the populations?
b. Do you
suppose the data were obtained in a survey or in an experiment?
c. For the
population of women whose mothers took the drug DES during pregnancy, a sample
of 3980 women showed that 63 developed tissue abnormalities that might lead to
cancer. Provide a descriptive statistic (to 1 decimal) that could be used to
estimate the number of women out of 1,000 in this population who have tissue
abnormalities.
out
of 1,000 women developed tissue abnormalities
d. For the
population of women whose mothers did not take the drug DES during pregnancy,
what is the estimate (to 1 decimal) of the number of women out of 1,000 who
would be expected to have tissue abnormalities? (Hint: remember that women
whose mothers took the drug were twice as likely to develop tissue
abnormalities.)
out
of 1,000 women developed tissue abnormalities
e. True or
false: medical studies often use a relatively large sample (in this case, 3980)
because disease occurrences can be rare and difficult to observe when only isolated
populations are considered.
Assignment 1 – Task 6
Exercise 01.23
Pew
Research Center is a nonpartisan polling organization that provides information
about issues, attitudes, and trends shaping America. In a poll, Pew researchers
found that 47% of American adult respondents reported getting at least some
local news on their cell phone or tablet computer (Pew Research website, May
14, 2011). Further findings showed that 42% of respondents who own cell phones
or tablet computers use those devices to check local weather reports and 37%
use the devices to find local restaurants or other businesses.
a. One statistic concerned using cell phones or tablet computers
for local news. What population is that finding applicable to?
b.
Another statistic concerned using cell phones or tablet
computers to check local weather reports and to find local restaurants. What
population is this finding applicable to?
c.
Do you think the Pew researchers conducted a census or a sample
survey to obtain their results? Why?
The
input in the box below will not be graded, but may be reviewed and considered
by your instructor.
d.
If you were a restaurant owner, would you find these results
interesting? Why? How could you take advantage of this information?
The
input in the box below will not be graded, but may be reviewed and considered
by your instructor.
Assignment 1 – Task 7
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The following table shows a data
set containing information for 25 of the shadow stocks tracked by the
American Association of Individual Investors (aaii.com, February 2002).
Shadow stocks are common stocks of smaller companies that are not closely
followed by Wall Street analysts. Click on the datafile logo to
reference the data.
a.
How many variables are in the data set? b.
Of the following subset of variables, indicate which are
categorical and which are quantitative.
c.
d.
For the Exchange variable, show the frequency and the percent
frequency for AMEX, NYSE, and OTC.
e.
f. Choose the
correct bar graph from the above diagrams: g.
Show the frequency distribution for the Gross Profit Margin
using the five intervals below:
h.
i. Choose the
correct histogram from the above diagrams: j.
What is the average price/earnings ratio (to 1 decimal)?
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Assignment 2 – Task 1
Exercise 02.01 Algorithmic
The response to a question has three alternatives: A, B, and C. A
sample of 120 responses provides 64 A, 23 B, and 33 C responses. Show the
frequency and relative frequency distributions (use nearest whole number for
the frequency column and 2 decimal for the relative frequency column).
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Class |
Frequency |
Relative
Frequency |
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A |
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B |
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C |
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(Total) |
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Assignment 2 – Task 2
Exercise 02.05
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In alphabetical order, the six
most common last names in the United States are Brown, Johnson, Jones,
Miller, Smith, and Williams (The World Almanac, 2012). Assume that a
sample of 50 individuals with one of these last names provided the following
data. Click on the datafile logo to
reference the data.
Summarize the data by constructing
the following items. a. Fill in the
frequency (to the nearest whole number) and the relative frequency (to 2
decimals) values below.
b. Which of the
following three bar graphs accurately represents the data? c. Select the
correct pie chart from the following. d. Based on these
data, what are the three most common last names? |
Assignment 2 – Task 3
Exercise 02.11
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Consider the following data. Click on the datafile logo to
reference the data.
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Assignment 2 – Task 4
Exercise 02.25
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Each year America.EDU ranks the
best paying college degrees in America. The following data show the median starting
salary, the mid-career salary, and the percentage increase from starting
salary to mid-career salary for the 20 college degrees with the highest
mid-career salary (America.EDU website, August 29, 2013). Click on the datafile logo to
reference the data.
a. Using a class
width of 10, select a histogram for the percentage increase in the starting
salary.
b. Comment on the
shape of the distribution. The histogram is slightly . c. Develop a stem-and-leaf
display for the percentage increase in the starting salary. If answer is zero
enter "0".
d. What are the primary
advantages of the stem-and-leaf display as compared to the histogram? |
Assignment 2 – Task 5
Exercise 02.31
Recently, management at Oak Tree Golf Course received a few
complaints about the condition of the greens. Several players complained that
the greens are too fast. Rather than react to the comments of just a few, the
Golf Association conducted a survey of 100 male and 100 female golfers. The
survey results are summarized here.
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a. Complete
the crosstabulation shown below.
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Green
Condition |
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Gender |
Too
Fast |
Fine |
Total |
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Male |
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Female |
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Total |
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b.
Which group shows the highest percentage saying that the greens are too fast?
c. Refer to
the initial crosstabulations. For those players with low handicaps (better
players), which group (male or female) shows the highest percentage saying the
greens are too fast?
For the low handicappers, the have
a higher percentage who think the greens are too fast.
d. Refer to
the initial crosstabulations. For those players with higher handicaps, which
group (male or female) shows the highest percentage saying the greens are too
fast?
For the high handicappers, the have
a higher percentage who think the greens are too fast.
e. At each
handicap level, how does the percentage of women who think the greens are too
fast compare to the percentage of men who feel the same?
When the crosstabulations are aggregated across handicap level, do you still
conclude the same thing when comparing the percentage of women who complain
that the greens are too fast with the percentage of the men who feel the same?
Note: This exercise is an example of Simpson's Paradox.
Assignment 2 – Task 6
Exercise 02.39
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A study on driving speed (miles
per hour) and fuel efficiency (miles per gallon) for midsize automobiles
resulted in the following data: Click on the datafile logo to
reference the data.
a. Which of the
following is a scatter diagram with driving speed on the horizontal axis and
fuel efficiency on the vertical axis.
Choose the correct scatter diagram
from the above diagrams: b. Comment on any
apparent relationship between these two variables. The input in the box below will
not be graded, but may be reviewed and considered by your instructor.
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Assignment 2 – Task 7
Exercise 02.39
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Google has changed its strategy
with regard to how much and over which media it invests in advertising. The
following table shows Google's marketing budget in millions of dollars for
2008 and 2011 (The Wall Street Journal, March 27, 2012).
a. Select a
side-by-side bar chart with year as the variable on the horizontal axis. b. Convert the
above table to percentage allocation for each year. Round your answers to one
decimal place, if necessary. If your answer is zero, enter "0".
Select a stacked bar chart with
year as the variable on the horizontal axis. c. Is the display
in part (a) or part (b) more insightful? Explain. The input in the box below will
not be graded, but may be reviewed and considered by your instructor. |
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The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 59 A, 25 B, and 36 C responses. Show the frequency and relative frequency distributions (use nearest whole number for the frequency column and 2 decimal for the relative frequency column).
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Assignment 3 – Task 1
Exercise 03.01
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Consider a sample with data values
of 10, 20, 12, 17, and 16. |
Assignment 3 – Task 2
Exercise 03.09
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Which companies spend the most
money on advertising? Business Insider maintains a list of
the top-spending companies. In 2014, Procter & Gamble spent more than any
other company, a whopping $5 billion. In second place was Comcast, which
spent $3.08 billion (Business Insider website, December 2014).
The top 12 companies and the amount each spent on advertising in billions of
dollars are as follows. Click on the datafile logo to
reference the data.
a. What is the mean
amount spent on advertising? (to 2 decimals) b. What is the
median amount spent on advertising? (to 3 decimals) c. What are the
first and third quartiles?
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Assignment 3 – Task 3
Exercise 03.23
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Consider a sample with data values
of 10, 20, 12, 17, and 16. |
Assignment 3 – Task 4
Exercise 03.27
The results of a
search to find the least expensive round-trip flights to Atlanta and Salt Lake
City from 14 major U.S. cities are shown in the following table. The departure
date was June 20, 2012 and the return date was June 27, 2012.
Click on the
datafile logo to reference the data.
a. Compute the mean
price for a round-trip flight into Atlanta and the mean price for a round-trip
flight into Salt Lake City. Round your answers to two decimal places.
|
Atlanta |
$ |
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Salt Lake City |
$ |
Is Atlanta less
expensive to fly into than Salt Lake City?
If so, what could
explain this difference?
The input in the
box below will not be graded, but may be reviewed and considered by your
instructor.
b. Compute the range
(Round your answers to one decimal place), variance, and standard deviation
(Round your answers to two decimal places) for the two samples.
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Atlanta |
Salt Lake City |
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Range |
$ |
$ |
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Variance |
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Standard Deviation |
$ |
$ |
What does this
information tell you about the prices for flights into these two cities?
Assignment 3 – Task 5
Exercise 03.35
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Consider a sample with data values
of 10, 20, 12, 17, and 16. Compute the z-score for each of the
five observations. If required enter negative values as negative numbers (to
2 decimals).
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Assignment 3 – Task 6
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The Graduate Management Admission
Test (GMAT) is a standardized exam used by many universities as part of the
assessment for admission to graduate study in business. The average GMAT
score is 547 (Magoosh website, January 5, 2015). Assume that GMAT
scores are bell-shaped with a standard deviation of 100. Make sure to use the
empirical rule to answer these questions. a. What percentage
of GMAT scores are 647 or higher? b. What percentage
of GMAT scores are 747 or higher (to 1 decimal)? c. What percentage
of GMAT scores are between 447 and 547? d. What percentage
of GMAT scores are between 347 and 647 (to 1 decimal)? |
Step-by-step explanation:
Using the empirical rule, we know that 68% of data falls
within one standard deviation of the mean; 95% of data falls within two
standard deviations of the mean; and 99.7% of data falls within 3 standard
deviations of the mean.
This means from the mean to 1 standard deviation (σ) above
is 34% of data; from the mean to 1 σ below is 34% of data; from 1 σ to 2σ above
is 13.5% of data; from 1σ to 2σ below is 13.5% of data; from 2σ to 3σ above is
2.35% of data; from 2σ to 3σ below is 2.35% of data; more than 3σ above is
0.15% of data; and more than 3σ below is 0.15% of data.
647 is 1 σ above the mean. This means that we go from
here above;
13.5+2.35+0.15 = 16%
747 is 2σ above the mean. This means that we go from
here above:
2.35+0.15 = 2.5%
447 is 1σ below the mean and 547 is the mean. This
means that we have 34%.
347 is 2σ below the mean and 647 is 1 above the mean.
This means we go from:
13.5+34+34 = 81.5%
Read more on Brainly.com -
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Assignment 3 – Task 7
Exercise 03.45
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The Wall Street Journal reported
that Walmart Stores Inc. is planning to lay off 2,300 employees at its Sam's
Club warehouse unit. Approximately half of the layoffs will be hourly
employees (The Wall Street Journal, January 25-26, 2014). Suppose the
following data represent the percentage of hourly employees laid off for 15 Sam's
Club stores.
a. Compute the mean
and median percentage of hourly employees being laid off at these stores.
b. Compute the
first and third quartiles.
c. Compute the
range and interquartile range.
d. Compute the
variance and standard deviation. Round your answers to four decimal places.
e. Do the data
contain any outliers? f. Based on the
sample data, does it appear that Walmart is meeting its goal for reducing the
number of hourly employees? |
Assignment 3 – Task 8
Exercise 03.47
consider the following data values: 27, 25, 20,
15, 30, 34, 28, and 25.
Which box plot most accurately represents these
data?
Assignment 3 – Task 9
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Ten major college football bowl
games were played in January 2010, with the University of Alabama beating the
University of Texas 37 to 21 to become the national champion of college
football. The results of the ten bowl games are shown below (USA Today,
January 8, 2010). The predicted winning point margin was based on Las Vegas
betting odds approximately one week before the bowl games were played. For
example, Auburn was predicted to beat Northwestern in the Outback Bowl by
five points. The actual winning point margin for Auburn was three points. A
negative predicted winning point margin means that the team that won the bowl
game was an underdog and expected to lose. For example, in the Rose Bowl,
Ohio State was a two-point underdog to Oregon and ended up winning by nine
points. Click on the datafile logo to
reference the data.
a. Select a scatter
diagram with predicted point margin on the horizontal axis.
b. What is the
relationship between predicted and actual point margins? c. Compute the
sample covariance. Round your answer to four decimal places. Interpret the sample covariance. The input in the box below will
not be graded, but may be reviewed and considered by your instructor. d. Compute the
sample correlation coefficient. Round your answer to three decimal places. What does this value indicate
about the relationship between the Las Vegas predicted point margin and the
actual point margin in college football bowl games? The input in the box below will
not be graded, but may be reviewed and considered by your instructor. |
Assignment 3 – Task 10
Exercise 03.61
|
A random sample of 30 colleges
from Kiplinger's list of the best values in private college provided the data
shown in the DATAfile named BestPrivateColleges (Kiplinger, October 2013).
The variable named Admit Rate (%) shows the percentage of students that
applied to the college and were admitted, and the variable named 4-yr Grad.
Rate (%) shows the percentage of students that were admitted and graduated in
four years.
a. Select a scatter
diagram with Admit Rate (%) as the independent variable.
What does the scatter diagram
indicate about the relationship between the two variables? b. Compute the
sample correlation coefficient. Round your answer to two decimal places and
enter negative values as negative numbers, if necessary. What does the value of the sample
correlation coefficient indicate about the relationship between the Admit
Rate (%) and the 4-yr Grad. Rate (%)? |
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