Random samples of size n were selected from three populations with the means and variances given here:
i. ii. iii.
a. Find the mean and standard deviation of the sampling distribution of the sample mean in each of the three cases above.
b. If the sampled populations are normal, are the sampling distributions of for each of the three cases also normal? Justify your answer.
c. According to the Central Limit Theorem, if the sampled populations are NOT normal, what can be said about the sampling distribution of for each of the three cases?

Question

Random samples of size n were selected from three populations with the means and variances given here:
i.  ii.  iii.  
a. Find the mean and standard deviation of the sampling distribution of the sample mean in each of the three cases above.
b. If the sampled populations are normal, are the sampling distributions of  for each of the three cases also normal? Justify your answer. 
c. According to the Central Limit Theorem, if the sampled populations are NOT normal, what can be said about the sampling distribution of  for each of the three cases?

Quizplus · Accepted Answer

The Answer of Random samples of size n were selected from three populations with the means and variances given here:
i.  ii.  iii.  
a. Find the mean and standard deviation of the sampling distribution of the sample mean in each of the three cases above.
b. If the sampled populations are normal, are the sampling distributions of  for each of the three cases also normal? Justify your answer. 
c. According to the Central Limit Theorem, if the sampled populations are NOT normal, what can be said about the sampling distribution of  for each of the three cases?

Random Samples of Size N Were Selected from Three Populations