Homework SourseFind the tvalue such that the area in the right tail is 002
Find the t-value such that the area in the right tail is 0.02 with 19 degrees of freedom.
(b) Find the t-value such that the area in the right tail is 0.10 with 32 degrees of freedom.
(c) Find the t-value such that the area left of the t-value is 0.05 with 6 degrees of freedom. [Hint: Use symmetry.]
(d) Find the critical t-value that corresponds to 95% confidence. Assume 16 degrees of freedom.
Solution
using tables of T distribution
Find the t-value such that the area in the right tail is 0.02 with 19 degrees of freedom.
t value is 2.093
(b) Find the t-value such that the area in the right tail is 0.10 with 32 degrees of freedom.
t value is 1.309
(c) Find the t-value such that the area left of the t-value is 0.05 with 6 degrees of freedom. [Hint:Use symmetry.]
t value is 1.943
(d) Find the critical t-value that corresponds to 95% confidence. Assume 16 degrees of freedom.
alpha = 0.05
alpha / 2 = 0.025
df = 16
t value is 2.120
