A simple random sample of size n= 79 is obtained from a population with u = 56 and o = 8. 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? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. 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. O B. 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 C. Yes because 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 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 is normal or approximately normal with u; = 56| and o; = O B. The sampling distribution of x is skewed left with H; = and o; = O C. The sampling distribution of x is uniform with p = and o = O D. The sampling distribution of x follows Student's t-distribution with p; = and o; =
A simple random sample of size n= 79 is obtained from a population with u = 56 and o = 8. 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? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. 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. O B. 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 C. Yes because 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 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 is normal or approximately normal with u; = 56| and o; = O B. The sampling distribution of x is skewed left with H; = and o; = O C. The sampling distribution of x is uniform with p = and o = O D. The sampling distribution of x follows Student's t-distribution with p; = and o; =
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.CR: Chapter 13 Review
Problem 6CR
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Transcribed Image Text:A simple random sample of size n= 79 is obtained from a population with u = 56 and o = 8. 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?
Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why?
O A. 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.
O B. 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 C. Yes because 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 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 is normal or approximately normal with u; = 56| and o; =
O B. The sampling distribution of x is skewed left with H; =
and o;
=
O C. The sampling distribution of x is uniform with p =
and o =
O D. The sampling distribution of x follows Student's t-distribution with p; =
and o; =
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