WK 8 Question 3

A simple random sample of size n=64 is obtained from a population with =82 and =7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? I have the answer to that already and it is No because the Central Limit Theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases.

THIS IS WHAT I NEED HELP WITH

What is the sampling distribution of x?

Select the correct choice below and fill in the answer boxes within your choice.

(Type integers or decimals rounded to three decimal places as needed.)

A. The sampling distribution of x is normal or approximately normal with x=______ and x= _____.

B. The sampling distribution of x is uniform with x=________ and x=________.

C. The sampling distribution of x follows Student's t-distribution with x=______ and x=_____.

D. The sampling distribution of x is skewed left with x=_________ and x= ______.