Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations in order to test the difference between the population means, . Assume that the population variances are unknown but equal. From the following options, how may the sampling distribution of the sample mean difference best be described?
A) It is normally distributed.
B) It is t distributed with 50 degrees of freedom.
C) It is t distributed with 48 degrees of freedom.
D) It is F distributed with 19 and 29 degrees of freedom.

Question

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations in order to test the difference between the population means,  . Assume that the population variances are unknown but equal. From the following options, how may the sampling distribution of the sample mean difference  best be described?
A) It is normally distributed. 
B) It is t distributed with 50 degrees of freedom. 
C) It is t distributed with 48 degrees of freedom. 
D) It is F distributed with 19 and 29 degrees of freedom.

Quizplus · Accepted Answer

The Answer of Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations in order to test the difference between the population means,  . Assume that the population variances are unknown but equal. From the following options, how may the sampling distribution of the sample mean difference  best be described?
A) It is normally distributed. 
B) It is t distributed with 50 degrees of freedom. 
C) It is t distributed with 48 degrees of freedom. 
D) It is F distributed with 19 and 29 degrees of freedom.

Two Independent Samples of Sizes 20 and 30 Are Randomly