Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 7, Problem 7.10TI
Based on data from the National Health Survey, women between the ages of 18 and 24 have an average systolic blood pressures (In mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a
a. If one woman from this population Is randomly selected, find the
b. If 40 women from this population are randomly selected, find the probability that their
c. If the sample were four women between the ages of 18 to 24 and we did not know the original distribution, could the central limit theorem be used?
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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
11.36
6.75
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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)
%
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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20
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20
12
30
7
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5
6
15
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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 $3.08 billion (Business Insider website, December 2014). The top 12 companies and
the amount each spent on advertising in billions of dollars are as follows.
Click on the datafile logo to reference the data.
DATA file
Company
Procter & Gamble
Comcast
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($billions)
$5.00
3.08
2.91
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General Motors
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2.44
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Toyota
Fiat Chrysler
Walt Disney Company
J.P Morgan
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2.55
b. What is the median amount spent on advertising? (to 3 decimals)
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1.97
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1.88
Chapter 7 Solutions
Introductory Statistics
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