Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 1, Problem 84H
Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly traded for at least a year. have a stock price of at least S3 per share, and have reported annual revenue between $3 million and $1 billion. Table 1.37 shows the ages of the chief executive officers for the first 60 ranked firms.
Table 1.37
a. What is the frequency for CEO ages between 34 and 63?
b. What percentage of CEOs are 63 years or older?
c. What is the relative frequency of ages under 30?
d. What is the cumulative relative frequency for CEOs younger than 55?
e. Which graph shows the relative frequency and which shows the cumulative relative frequency?
Figure 1.13
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Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds.
Click on the datafile logo to reference the data.
DATA file
Type of Fund
Domestic Equity
Number of Funds
Total Return (%)
9191
4.65
International Equity
2621
18.15
Hybrid
1419
2900
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a. Using the number of funds as weights, compute the weighted average total return for these mutual funds. (to 2 decimals)
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b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return in part (a)? Discuss. What else might be used for weights?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. Suppose you invested $10,000 in this group of mutual funds and diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock…
The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided.
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7
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Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds (to 1 decimal).
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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 $3.08 billion (Business Insider website, December 2014). The top 12 companies and
the amount each spent on advertising in billions of dollars are as follows.
Click on the datafile logo to reference the data.
DATA file
Company
Procter & Gamble
Comcast
Advertising
($billions)
$5.00
3.08
2.91
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American Express
General Motors
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b. What is the median amount spent on advertising? (to 3 decimals)
2.09
1.97
1.96
1.88
Chapter 1 Solutions
Introductory Statistics
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