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Consider a Population of 5 Families with the Following Data

question 55

Essay

Consider a population of 5 families with the following data representing the number of pets in each family.  Family  Number of Pets  A 2 B 6 C 4 D 3 E 1\begin{array} { l l } \text { Family } & \text { Number of Pets } \\\hline \text { A } & 2 \\\text { B } & 6 \\\text { C } & 4 \\\text { D } & 3 \\\text { E } & 1\end{array}
a.
There are 10 possible samples of size 2 (sampling without replacement). List the 10 possible samples of size 2, and determine the mean of each sample.
b.
Determine the mean and the variance of the population.
c.
Using the 10 sample mean values, compute the mean and the standard error of the mean.


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