Question

You flip a coin 8 times and record the results using 0 for heads and 1 for tails. You find the variance. Is investigating this sample variance the same as investigating the sampling distribution of the variance?

Answer 1

Answer: No, the sampling distribution of the variance is the distribution of the means from all samples, not just one.

Answer 2

No, Sampling Variance is different from Variance of Sampling Distribution.

Explanation:

Sampling Distribution of Variance is a variance of the probability distribution of all possible samples. and,

Sample Variance is a variance of only the given samples which is very small compared to the Sampling distribution of variance.

Thus, investigating 8 samples of a coin is different from investigating the sampling distribution of variance.