Which of the following statements regarding t-curves is/are true?
A. The total area under a t-curve with 10 degrees of freedom is greater than the area under the Standard normal curve.
B. The t-curve with 10 degrees of freedom is flatter and wider than the standard normal curve.
C. The t-curve with 10 degrees of freedom more closely resembles the standard normal curve than
The t-curve with 20 degrees of freedom.
A)B, C
B)C
C)A
D)B

Question

Which of the following statements regarding t-curves is/are true? 
A. The total area under a t-curve with 10 degrees of freedom is greater than the area under the Standard normal curve.
B. The t-curve with 10 degrees of freedom is flatter and wider than the standard normal curve.
C. The t-curve with 10 degrees of freedom more closely resembles the standard normal curve than
The t-curve with 20 degrees of freedom. 
A)B, C
B)C
C)A
D)B

Quizplus · Accepted Answer

The t-curve is flatter and wider than the standard normal curve, especially with fewer degrees of freedom, such as 10. This accounts for the greater uncertainty (or variability) when estimating population parameters from small samples. The total area under any t-curve, like the standard normal curve, is 1, not greater. As the degrees of freedom increase (e.g., moving from 10 to 20), the t-curve more closely resembles the standard normal curve, making statement C incorrect.

Which of the Following Statements Regarding T-Curves Is/are True