A simple random sample of size n = 37 is obtained from a population that is skewed left with μ = 45 and o= 8. Does the population need to be normally distributed for the samplingdistribution 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. 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. 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 asthe sample size, n, increases.O C.Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.O D. 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.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.)PxO A. The shape of the sampling distribution of x is unknown withOB. The sampling distribution of x is skewed left with μ =OC. The sampling distribution of x is uniform withPx==and o- =and o- =oxOD. The sampling distribution of x is approximately normal with μ=and o- =oxand o- =X

It is given that Mean, μ = 45 Standard deviation, σ = 8 Sample size, n = 37

A simple random sample of size n = 37 is obtained from a population that is skewed left with μ = 45 and a = 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. 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 siz n, increases. 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 the sample size, n, increases. O C. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. OD. 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, m 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 shape of the sampling distribution of x is unknown with μ- = and o= OB. The sampling distribution of x is skewed left with PX O C. The sampling distribution of x is uniform with μ- = OD. The sampling distribution of x is approximately normal with H and o and ox and o= =

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 31CR