Homework Sourse3 For the t distribution with 48 degrees of freedom a The cu
3. For the t distribution with 48 degrees of freedom:
a. The cutoff 1.645 leaves how much probability in the upper tail?
b. The cutoff 1.96 leaves how much probability in the upper tail?
c. The cutoff 2.567 leaves how much probability in the upper tail?
d. How do these compare with the corresponding upper tail probabilities from the standard normal?
e. How do these compare with the corresponding upper tail probabilities from the t distribution with 35 degrees of freedom?
Solution
3. For the t distribution with 48 degrees of freedom:
a. The cutoff 1.645 leaves how much probability in the upper tail= 0.0533
b. The cutoff 1.96 leaves how much probability in the upper tail= 0.0279
c. The cutoff 2.567 leaves how much probability in the upper tail = 0.0067
d. How do these compare with the corresponding upper tail probabilities from the standard normal?
For standard normal the values are 0.05, 0.025 and 0.005 and this values are smaller than t with 48 DF
e. How do these compare with the corresponding upper tail probabilities from the t distribution with 35 degrees of freedom?
The values with t 35 DF are 0.0545,0.029 and 0.0073 and this values are larger than t with 48DF
