i. The t distribution is positively skewed.
ii. All t distributions have the same mean of zero and a standard deviation of 1.
Iii) The t distribution is more spread out and flatter at the center than is the standard normal distribution. However, as the sample size increases, the t distribution curve approaches the standard normal distribution.
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 t distribution is positively skewed. 
ii. All t distributions have the same mean of zero and a standard deviation of 1.
Iii) The t distribution is more spread out and flatter at the center than is the standard normal distribution. However, as the sample size increases, the t distribution curve approaches the standard normal distribution.
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 symmetric, not positively skewed, and does not always have a mean of zero and a standard deviation of 1. Statement (iii) correctly describes the t distribution's characteristics compared to the standard normal distribution.

I. the T Distribution Is Positively Skewed