A simple random sample of size 41 is obtained from a population that is skewed lot with u = 71 and 0 - 5. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of in
Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why?
OA. No. The central limit theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of become approximately normal as the sample size, n, increases.
OB. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the samping distribution of normal, regardless of the sample size, n.
OC. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
OD. No. The central imet theorem states that regardless of the shape of the underlying population, the sampling distribution of becomes approximately normal as the sample size, n, increases
What is the sampling distribution of 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.)
OA The sampling distribution of x is skewed left with and o- "
OB. The sampling distribution of is approximately normal with and :-)
OC. The sampling distribution of is uniform with ;-and-
OD. The shape of the sampling distribution of x is unknown with ; - and o: -