Question

450 people are randomly selected at grocery stores across the state and surveyed on the amount of money they are spending at the store that day. How does finding the sample variance compare to investigating the sampling distribution of the variance?
A.Since the state has at least 450 grocery stores, finding the variance of the sample is the same as investigating the sampling distribution of the variance.

B.The sampling distribution of the variance requires repeating this process with the same sample several times. So this does not compare to the sampling distribution of the variance.

C. Only 450 people are selected from all the shoppers, so the distribution is not even.

D.The sampling distribution of the mean requires multiple samples to be compared. However, in this situation you are looking for the variance, so finding the sample variance is the same as investigating the sampling distribution of the variance.

Answer 1

Answer:

Step-by-step explanation:

Sample variance when large number of samples are drawn we have tend to become a normal distribution.

Variance of the sample is different since variance

Var(x) = E(x^2)-{E(x)}^2

is the formula used for finding the variance of any sample.

But sampling distribution of variance requires repeating this process with the different samples several times.

So option A is not right

B is also not correct, C is wrong

D.The sampling distribution of the mean requires multiple samples to be compared. However, in this situation you are looking for the variance, so finding the sample variance is the same as investigating the sampling distribution of the variance.

is correct