Consider a population of five families with the following data representing the number of pets in each family.
a.There are ten 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 ten sample mean values, compute the mean and the standard error of the mean.
Definitions:
Chi-squared Distribution
A statistical distribution that describes the distribution of the sum of the squares of a set of variables that follow a normal distribution, commonly used in hypothesis testing.
Positively Skewed
A distribution shape where the tail is longer on the right side, indicating that the mean and median are greater than the mode.
Chi-squared Distribution
A probability distribution that describes the distribution of the sum of the squares of variables that are independently distributed according to a standard normal distribution.
Degrees of Freedom
The number of independent values or quantities that can vary in an analysis without violating any constraints.
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