A simple random sample of size n =66,  is obtained from a population that is skewed left with =33 and =3. . 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? (A) Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the samp

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 7E
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A simple random sample of size n =66,  is obtained from a population that is skewed left with =33 and =3. . 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?
(A) Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
 (B) 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.
 (C)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.
 (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.

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,