Determine the critical​ t-scores for each of the conditions below. ​a) ​one-tail test, alphaequals0.05​, and nequals20 ​b) ​one-tail test, alphaequals0.005​, and nequals39 ​c) ​two-tail test, alphaequals0.10​, and nequals11 ​d) ​two-tail test, alphaequals0.02​, and nequals16

Respuesta :

Answer: a) 1.729, b) 2.712, c) 3.169, d) 2.602.

Step-by-step explanation:

Since we have given that

​a) ​one-tail test, alpha = 0.05​, and n = 20

So, the degree of freedom = [tex]n-1=20-1=19[/tex]

So, [tex]t_{19}=1.729[/tex]

b) ​one-tail test, alpha = 0.005​, and n = 39

So, the degree of freedom = [tex]n-1=39-1=38[/tex]

So, [tex]t_{38}=2.712[/tex]

c) ​two-tail test, alpha = 0.10​, and n = 11

So, the degree of freedom = [tex]n-1=11-1=10[/tex]

So, [tex]t_{10}=3.169[/tex]

​d) ​two-tail test, alpha = 0.02​, and n = 16

So, the degree of freedom = [tex]n-1=16-1=15[/tex]

So, [tex]t_{15}=2.602[/tex]

Hence, a) 1.729, b) 2.712, c) 3.169, d) 2.602.