List all possible samples of size n = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ 2 = 8/3, and standard deviation σ = 8 / 3 = 1.6 of the population.
List all possible samples of size n = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ 2 = 8/3, and standard deviation σ = 8 / 3 = 1.6 of the population.
List all possible samples of sizen = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ2 = 8/3, and standard deviation
σ
=
8
/
3
=
1.6
of the population.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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