simple random sample of size n = 46 is obtained from a population with u= 46 and o = 5. Does the population need to be normally distributed for the sampling stribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? normal as the sample size, n, increases. )C. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. O D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. /hat is the sampling distribution of x? Select the correct choice below and fill in the answer boxes within your choice. ype integers or decimals rounded to three decimal places as needed.) ) A. The sampling distribution of x follows Student's t-distribution with µ; = and O B. The sampling distribution of x is normal or approximately normal with u- = and o, = ) C. The sampling distribution of x is uniform with and o ) D. The sampling distribution of x is skewed left with u- = and o; =

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A simple random sample of size n=46is obtained from a population with μ=46 and σ=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 x​?
 
 
A simple random sample of size n = 46 is obtained from a population with u = 46 and o = 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 x?
normal as the sample size, n, increases.
O C. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x
become approximately normal as the sample size, n, increases.
D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
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.)
O A. The sampling distribution of x follows Student's t-distribution with
and o, =
B. The sampling distribution of x is normal or approximately normal with p; =
and o- =
O C. The sampling distribution of x is uniform with
and o- =
O D. The sampling distribution of x is skewed left with
and o, =
=
Transcribed Image Text:A simple random sample of size n = 46 is obtained from a population with u = 46 and o = 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 x? normal as the sample size, n, increases. O C. No because the Central Limit Theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. D. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. 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.) O A. The sampling distribution of x follows Student's t-distribution with and o, = B. The sampling distribution of x is normal or approximately normal with p; = and o- = O C. The sampling distribution of x is uniform with and o- = O D. The sampling distribution of x is skewed left with and o, = =
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