Question

What will increasing the size of a probability sample do? decrease the level of confidence increase the variability of a sample statistic increase the variability in a population parameter decrease the variability of a sample statistic decrease the variability in a population parameter

Answer 1

Decreases the variability of a sample

Explanation:

Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)

Therefore, we have;

`\sigma_(\overline x) = (\sigma )/(√(n) )`

Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence