Question

a simple random sample of size n=72 is obtained from a population with u=82 and o=3. does the population need to be normallt distibuted for the sampling distribution of x to be approximately normaly distibuted? why? what is the sampling distribution of x?

A simple random sample of stren72 is obtained from a population with 12 and a = 3. Does the population need to be normally distributed for the sampling distribution of to be approximately omally distributed? Why? What is the sampling distribution of 27 Does the population need to be normally distributed for the sampling distribution of 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 samping distribution of becomes approximately normal as the samplesir, increases OB. Yes because the Central Limit Theorem states that the sampling viability of non normal populations will increase as the sample size increases OC. No because the Central Limit Theorem states that only the shape of the underlying population is normal or uniform does the sampling distribution of become approximately normal as the sample size, n, increases OD. Yes because the Central Limit Theorem states that only for underlying populations that are normal is the shape of the samping darbution of normal, regardless of the sample size, What is the samping distribution of Select the correct choice below and fill in the boxes within your choice (Type Integers or decimals rounded to three decimal places as needed) O A The samping distribution of is uniform with and a OB. The sampling distribution of its skewed left with ande; OC. The sampling distribution of it is normal or aproximately normal with ande, D. The samping duribution of follows Students darbution why ande

Answer 1

limit By central theorem, we know that of the shape regardless population the S of the distribution sampling distribution of approximately the sample increases lie. M is as normal size n when is s sufficiently n Large) is sufficiently n By Large )) we mean no 30

In this problem, n=72. n = 72 30. heed So here the population does not to be normally distributed for the sampling distribution of ū to be approximately normally distributed 0 A is correct option Note that and Mr = M o GILE where n