Question

Find the critical value (or values) for the 𝑡-test for each.

a. 𝑛 = 10 ; ∝= 0.05 ; right tailed

b. 𝑛 = 18 ; ∝= 0.10 ; two-tailed

c. 𝑛 = 6 ; ∝= 0.01 ; left-tailed

d. 𝑛 = 9 ; ∝= 0.025 ; right tailed

e. 𝑛 = 15 ; ∝= 0.05 ; two-tailed 

Answer 1

a. $𝑛 = 10,∝= 0.05 , df=n-1=10-1=9,$ right tailed

$$t_c=1.833113$$

b. $𝑛 = 18,∝= 0.10 , df=n-1=18-1=17,$ two tailed

$$t_c=1.739607$$

c. $𝑛 = 6,∝= 0.01 , df=n-1=6-1=5,$ left tailed

$$t_c=-3.364762$$

d. $𝑛 = 9,∝= 0.025 , df=n-1=9-1=8,$ right tailed

$$t_c=2.306002$$

e. $𝑛 = 15,∝= 0.05 , df=n-1=15-1=14,$ two tailed

$$t_c=2.144787$$