Question
In: Statistics and Probability
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)=
Solutions
orchestra answered 1 year agoRelated Solutions
2. In a random sample of 857 families with multiple children, it was found that 533...
2. In a random sample of 857 families with
multiple children, it was found that 533 of them prefer Charmin
brand toilet paper. Test the claim that the proportion is larger
than 0.61 using a 0.05 significance level.
a. Give the critical region and the value of the test
statistic.
b. Give the decision and conclusion.
In a sample of families with 6 children each, the distribution of boys and girls is...
In a sample of families with 6 children each, the distribution
of boys and girls is as shown in the following table:
Number
offamilies
10
60
147
202
148
62
10
Number of girls
0
1
2
3
4
5
6
Number of boys
6
5
4
3
2
1
0
Part A) Calculate the chi-square value to test
the hypothesis of a boy-to-girl ratio of 1:1. (Express your answer
using three decimal places)
Part B) Are the numbers of...
The frequency distribution below shows the number of children in families at a church in Tucson....
The frequency distribution below shows the number of children in
families at a church in Tucson.
Number of Children
Frequency
0
6
1
12
2
11
3
6
4
3
5
1
6
0
The median number of children in a family is:
______________________
. A nutritionist found that in a sample of 80 families, 22% said they ate apples at...
. A nutritionist found that in a sample of 80
families, 22% said they ate apples at least once a
week. Find
the 90% confidence interval of the
true proportion of families who eat apples at least once a
week.
5. A survey of 120 female freshmen showed that 18 did
not wish to work after marriage. Find the 95%
confidence interval of the true
proportion of females who do not wish to work after marriage.
. 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...
(4) The sample space that describes all three-child families according to the genders of the children...
(4) The sample space that describes all three-child families
according to the genders of the children with respect to birth
order is In the experiment of selecting a three-child family at
random, compute each of the following probabilities, assuming all
outcomes are equally likely.
S = {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}
a. The probability that the family has at least two boys.
b. The probability that the family has at least two boys, given
that not all...
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...
4. Families in a Faraway LandIn a faraway land, • 20% of families have no children,...
4. Families in a Faraway LandIn a faraway land,
• 20% of families have no children,
• 20% of families have exactly 1 child,
• 30% of families have exactly 2 children,
• 20% of families have exactly 3 children,
• 10% of families have exactly 4 children,
• no families have more than 4 children, and• 55% of children are
boys.
(a) If you randomly choose a family from this faraway land, what
is the expected number of children...
In the sample of 605 women, they reprt that their ideal average number of children is...
In
the sample of 605 women, they reprt that their ideal average number
of children is 3.41 with standard deviation of 1.92 in the sample
of 640 men they report that their ideal number of children is 2.99
with standard deviation of 1.94. test the hypothesis that men and
women prefer a different number of children.
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