1. Kristen Orlando Summary: My Grandfather’s 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 other’s children, they shared garden’s, 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. 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. 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 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 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. I’ve 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. 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. 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 Average Number of Cousins Per Family Cousins in-state vs. Cousins out of state: Below is the descriptive statistics for the number of cousins in-state and out of state. Correlation Plot 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) 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.