A simple random sample of size n = 77 is obtained from a population that is skewed left with μ= 81 and o=2. 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? C... Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. OB. No. 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. 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 limit theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal a the sample size, n, 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.) OA. The sampling distribution of x is approximately normal with = and = and ox= OB. The sampling distribution of x is uniform with P OC. The shape of the sampling distribution of x is unknown with Px = OD. The sampling distribution of x is skewed left with Hx and ox= and ox=
A simple random sample of size n = 77 is obtained from a population that is skewed left with μ= 81 and o=2. 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? C... Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n. OB. No. 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. 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 limit theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal a the sample size, n, 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.) OA. The sampling distribution of x is approximately normal with = and = and ox= OB. The sampling distribution of x is uniform with P OC. The shape of the sampling distribution of x is unknown with Px = OD. The sampling distribution of x is skewed left with Hx and ox= and ox=
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 26E
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Transcribed Image Text:A simple random sample of size n = 77 is obtained from a population that is skewed left with µ = 81 and o=2. 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?
C・・・
Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why?
O A. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of
the sample size, n.
O B. No. 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.
OC. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
O D. No. 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.
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 approximately normal with μ =
and ox=
B. The sampling distribution of x is uniform with μ =
and ox=
OC. The shape of the sampling distribution of x is unknown with Px =
O D. The sampling distribution of x is skewed left with μ =
and
and ox=
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