Kristen Orlando

1
Family Size
Kristen Orlando
Cousins in-state vs. Cousins out of state Below
is the descriptive statistics for the number of
cousins in-state and out of state.
Summary My Grandfathers family came to America
from Italy and all settled together in the exact
same state, in the exact same town, on the exact
same street. They raised each others children,
they shared gardens, and they worked together in
a family owned grocery store. But as our world
grows and the opportunities become more abundant,
many find their lives moving away from their
families and towards their future and careers.
Coming from a large, Italian family, I have
numerous aunts, uncles, and cousins but I realize
that my family is not the norm. I wanted to
calculate data to find out what is the average
number of cousins among families. Also, family
is something that is very important to me and I
love living so close to all of my cousins. I
collected data as to how many of their cousins
lived in-state or out of state and calculated the
difference between the two.
Descriptive Statistics Number In-State, Number
Out of State Variable N Mean
Median TrMean StDev SE Mean Number
In 25 7.960 8.000 7.870
4.569 0.914 Number O 25
15.64 16.00 15.65 5.54
1.11 Variable Minimum Maximum Q1
Q3 Number I 1.000 17.000
5.000 10.000 Number O 3.00
28.00 13.00 19.50
Graph With my collected Data, I wanted to see if
there was a correlation between cousins who were
instate, and cousins who were out of state. The
graph below shows that there is a linear positive
correlation between the data with an r .578. I
also plotted a regression line to see if you can
predict the amount of cousins out of state by the
number of cousins in-state. Ive found through
my graphs that it is possible and in general the
more cousins a person has in-state, the more
cousins a person will have out of state.
Compilation of Data I tested to see if there was
a difference in the mean number of cousins that
live-in state vs. cousins who live out of state
by using a T-Test. I first found the difference
by first subtracting the number of cousins out of
state minus the number of cousins in-state. My
null hypothesis was that the mean difference was
equal to zero and my alternative hypothesis was
that the mean difference did not equal zero.
Below is my data showing that I found a P value
of zero which means I can reject the null
hypothesis of the mean difference equaling zero.
Correlation Plot
T-Test of the Mean Test of mu 0.000 vs mu not
0.000 Variable N Mean StDev SE Mean
T P Differen 25 7.680
4.723 0.945 8.13 0.0000

Average Number of Cousins Per Family

I was interested in the average number of cousins
per family. I asked 25 people how many first
cousins they had and calculated the average of
all my data. Below is a compilation of the
descriptive statistics. To the left is a
histogram displaying the frequency of the total
number of cousins per family.
Confidence Interval Below is a 95 confidence
interval for the mean of cousins in-state and
cousins out of state. The intervals do not over
lap therefore proving that there is a difference
in the mean number of cousins in and out of
state.
Descriptive Statistics Variable N
Mean Median TrMean StDev SE Mean Total
25 23.60 24.00 23.83
8.99 1.80 Variable Minimum Maximum
Q1 Q3 Total 4.00
38.00 18.50 30.50
One-Sample T Number In-State Variable
N Mean StDev SE Mean 95.0 CI
Number In-St 25 7.960 4.569
0.914 ( 6.074, 9.846)
One-Sample T Number Out of State Variable
N Mean StDev SE Mean 95.0
CI Number Out o 25 15.64 5.54
1.11 ( 13.35, 17.93)