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

MATLAB: An Introduction with Applications
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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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