Q 8.11RP. - Elementary Statistics

Question

The following figure shows the standard normal curve and two \(t\)-curves. Which of the two \(t\)-curves has the larger degrees of freedom? Explain your answer.

Step-by-Step Solution

Answer

The $t-$curve which is closer to the standard normal curve has the larger degree of freedom.

Step 1: Given information

Step 2: Explanation

The shape of the $t-$curve approaches the shape of a conventional normal curve as the number of degrees of freedom grows. As a result, the $t-$curve with the most degrees of freedom is closer to the conventional normal curve.