According to the U.S. Census Bureau, the distribution of family sizes in the United States for the year 2010 is as shown below. Number of person Number of families (thousands) Percentage of families 2 31455 44.3 3 16073 22.9 4 14496 20.0 5 6526 8.6 6 2246 2.8 7 1249 1.4 That is, 44.3% of the families in the United States have two members, whereas only 2.8% have six members. (a) Adam 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 distribution of possible values of the sample mean in random samples of 400 families. (b) Find the approximate standard deviation of the family sizes. (c) Suppose Adam randomly selects 400 families from this population. Desc
According to the U.S. Census Bureau, the distribution of family sizes in the United States for the year 2010 is as shown below.
|
Number of person |
Number of families (thousands) |
Percentage of families |
|
2 |
31455 |
44.3 |
|
3 |
16073 |
22.9 |
|
4 |
14496 |
20.0 |
|
5 |
6526 |
8.6 |
|
6 |
2246 |
2.8 |
|
7 |
1249 |
1.4 |
That is, 44.3% of the families in the United States have two members, whereas only 2.8% have six members.
(a) Adam 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 distribution of possible values of the sample mean in random samples of 400 families.
(b) Find the approximate standard deviation of the family sizes.
(c) Suppose Adam randomly selects 400 families from this population. Describe, as closely as you can, the shape, center, and spread of the 400 data values that might occur in the sample
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