Question
In: Statistics and Probability
1. A certain town has 25,000 families. The average number of children per family is 2.4...
1. A certain town has 25,000 families. The average number of children per family is 2.4 with an SD of 1.1 . Also, 20% of the families have no children at all. A random sample of 400 families from that town is drawn.
a) Find the expected value and the standard error for the percentage of families chosen without children?
b) Estimate the chance that somewhere between 17% and 19% of the sample families will have no children?
c) Find the expected value and the standard error for the average number of children per family in the sample
d) Estimate the chance that the average number of kids per family in the sample is greater than 2.5
Solutions
orchestra answered 2 years agoRelated Solutions
. A certain town has 25,000 families. The average number of children per family is 2.4...
. A certain town has 25,000 families. The average number of
children per family is 2.4 with an SD of 1.1 . Also, 20% of the
families have no children at all. A random sample of 400 families
from that town is drawn.
a) Find the expected value and the standard error for the
percentage of families chosen without children?
b) Estimate the chance that somewhere between 17% and 19% of the
sample families will have no children?
c) Find...
. A certain town has 25,000 families. The average number of children per family is 2.4...
. A certain town has 25,000 families. The average number of
children per family is 2.4 with an SD of 1.1 . Also, 20% of the
families have no children at all. A random sample of 400 families
from that town is drawn.
a) Find the expected value and the standard error for the
percentage of families chosen without children?
b) Estimate the chance that somewhere between 17% and 19% of the
sample families will have no children?
c) Find...
1. A certain town has 9,000 families.Population average mileage driven per family is 15,000 miles per...
1. A certain town has 9,000 families.Population average mileage
driven per family is 15,000 miles per year and the population SD is
2,000 miles per year. Fifteen percent of these families have no
cars at all. As part of an opinion survey, a simple random sample
of 900 families (from this town) is chosen. What is the chance that
sample average mileage driven per family is between 14,950 and
15,100 miles per year? Use the normal approximation method with
continuity...
it has been reported that the average number of children per family in the united staes...
it has been reported that the average number of children per
family in the united staes is 2.3 per family. since the random
variable "number of children"is discrete, justify reporting the
value "2.3."
5 In a certain northern Wisconsin town (cough...cough...Oliver), there are 100 families. 30 families have 1...
5 In a certain northern Wisconsin town (cough...cough...Oliver),
there are 100 families. 30 families have 1 child, 50 families have
2 children, and 20 families have 3 children. The children are then
ranked according to age: the oldest has rank 1, second oldest rank
2, third oldest rank 3. Suppose you select a random child from the
town. Find the probability mass function, expected value, and
variance of the childs rank.
6. (a). In a particular town 10% of the families have no children, 30% have one...
6. (a).
In a particular town 10% of the families have no children, 30%
have one child, 20% have
two children, 40% have three children, and 0% have four. Let T
represent the total
number of children, and G the number of girls, in a family chosen
at random from this
town. Assuming that children are equally likely to be boys or
girls, find the distribution
of G. Display your answer in a table and sketch the histogram.
(b). Find...
The following are the number of children found in a sample of families denoted as the...
The following are the number of children found in a sample of
families denoted as the variable X:
0, 7, 10, 5, 3, 7, 2, 1, 9, 4, 2, 1, 2, 3, 6, 3, 0, 8, 7, 2,
1
Find the estimates of the (i) mean of X (ii) the variance of X
(iii) the standard deviation of X.
(i)=
(ii)=
(iii)=
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl.
in R.
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl. Do the same if all people had children until they had at least one boy and at least one girl. How many more children would you expect to find under the second scheme than under the first in 100,000 families? (Assume that girls and boys are equally likely.)
In a particular town 10% of the families have no children, 20% have one child, 40%...
In a particular town 10% of the families have no children, 20%
have one child, 40% have two children, 20% have three children, and
10% have four. Let T represent the total number of children, and G
the number of girls, in a family chosen at random from this town.
Assuming that children are equally likely to be boys or girls, find
the distribution of G. Display your answer in a table and sketch
the histogram.
1.Suppose that the government provides a subsidy of $300 per month for all families with children....
1.Suppose that the government provides a subsidy of $300 per
month for all families with children. Consider a mother with a
preschool-age child who is currently not employed. How would this
subsidy affect her decision to work, all else equal? Explain with
the aid of a figure explaining the shift in budegt line and
indiference curves
2. Suppose that the government provides a subsidy of $300 per
month for all families with children. Consider a mother with a
preschool-age child...
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