3.14 According to the U.S. Census Bureau, the distribution of family sizes in the United States for the year 2000 is as shown in the following table. (The term “family" refers to a group of two or more people related by birth, marriage, or adoption and residing together in a household. The term “household" refers to all people who occupy a "housing unit," that is, a house, an apartment, or other group of rooms, or a single room that constitutes "sep- arate living quarters.") Size of family (for 2000) Number of families Percentage of families (in thousands) 2 31,455 44.3 3 16,073 22.9 4 14,496 20.0 08.6 02.8 5 6526 2226 7* 1249 01.4 *This category is actually "7 or more," but very fkw families have more than 7 members. That is, 44.3% of the families in the United States have two members, whereas only 2.8% have six members. (Famil ies with more than seven children are very rare.) a. Find the mean family size, approximately, from this distribution of family sizes. Will this approximation be too large or too small? Explain. b. Find the approximate standard deviation of the family sizes. d. Nielsen is actually interested in the mean number of persons per family in samples of 400 families. Describe, as closely as you can, the shape, center, and spread of the dis- tribution of possible values of the sample mean in random samples of 400 families.
3.14 According to the U.S. Census Bureau, the distribution of family sizes in the United States for the year 2000 is as shown in the following table. (The term “family" refers to a group of two or more people related by birth, marriage, or adoption and residing together in a household. The term “household" refers to all people who occupy a "housing unit," that is, a house, an apartment, or other group of rooms, or a single room that constitutes "sep- arate living quarters.") Size of family (for 2000) Number of families Percentage of families (in thousands) 2 31,455 44.3 3 16,073 22.9 4 14,496 20.0 08.6 02.8 5 6526 2226 7* 1249 01.4 *This category is actually "7 or more," but very fkw families have more than 7 members. That is, 44.3% of the families in the United States have two members, whereas only 2.8% have six members. (Famil ies with more than seven children are very rare.) a. Find the mean family size, approximately, from this distribution of family sizes. Will this approximation be too large or too small? Explain. b. Find the approximate standard deviation of the family sizes. d. Nielsen is actually interested in the mean number of persons per family in samples of 400 families. Describe, as closely as you can, the shape, center, and spread of the dis- tribution of possible values of the sample mean in random samples of 400 families.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:3.14 According to the U.S. Census Bureau, the distribution of family sizes in the United States
for the year 2000 is as shown in the following table. (The term “family" refers to a group
of two or more people related by birth, marriage, or adoption and residing together in a
household. The term “household" refers to all people who occupy a "housing unit," that
is, a house, an apartment, or other groupof rooms, or a single room that constitutes "sep-
arate living quarters.")
Size of family
(for 2000)
Number of families
Percentage
of families
(in thousands)
31,455
16,073
14,496
2
44.3
3
22.9
4
20.0
5
6526
08.6
2226
02.8
7*
1249
01.4
*This category is actually "7 or more," but very fkw families have more than
7 members.
That is, 44.3% of the families in the United States have two members, whereas only 2.8%
have six members. (Famil ies with more than seven children are very rare.)
a. Find the mean family size, approximately, from this distribution of family sizes. Will
this approximation be too large or too small? Explain.
b. Find the approximate standard deviation of the family sizes.
d. Nielsen is actually interested in the mean number of persons per family in samples of
400 families. Describe, as closely as you can, the shape, center, and spread of the dis-
tribution of possible values of the sample mean in random samples of 400 families.
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