When two independent random samples of sizes and have been selected from populations with means and , and variances and , which of the following is true?
A) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal only whenandare both 30 or more.
B) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal regardless of the sizes ofand.
C) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed regardless of the sizes ofand.
D) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed only ifis 30 or more.
E) None of these.

Question

When two independent random samples of sizes  and  have been selected from populations with means  and  , and variances  and  , which of the following is true?
A) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal only whenandare both 30 or more. 
B) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal regardless of the sizes ofand. 
C) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed regardless of the sizes ofand. 
D) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed only ifis 30 or more. 
E) None of these.

Quizplus · Accepted Answer

The Answer of When two independent random samples of sizes  and  have been selected from populations with means  and  , and variances  and  , which of the following is true?
A) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal only whenandare both 30 or more. 
B) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal regardless of the sizes ofand. 
C) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed regardless of the sizes ofand. 
D) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed only ifis 30 or more. 
E) None of these.

When Two Independent Random Samples of Sizes and