i. The test statistic for a problem involving a small sample of fewer than 30 and an unknown population standard deviation is the Student's t distribution.
Ii) The t distribution approaches the Z distribution as the sample size increases.
iii. As the sample size increases, the computed value of t decreases
A) (i), (ii) and (iii) are all correct statements
B) (iii) is a correct statement but not (i) or (ii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question

i. The test statistic for a problem involving a small sample of fewer than 30 and an unknown population standard deviation is the Student's t distribution.
Ii) The t distribution approaches the Z distribution as the sample size increases. 
iii. As the sample size increases, the computed value of t decreases
A) (i), (ii) and (iii) are all correct statements
B) (iii) is a correct statement but not (i) or (ii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Quizplus · Accepted Answer

The t distribution is used for small samples with unknown population standard deviation, it approaches the Z distribution as sample size increases, and the computed value of t decreases as sample size increases.

I the Test Statistic for a Problem Involving a Small