Question

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

Answer 1

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

Explanation:

Since we have given that

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

So, the degree of freedom =
`n-1=20-1=19`

So,
`t_(19)=1.729`

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

So, the degree of freedom =
`n-1=39-1=38`

So,
`t_(38)=2.712`

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

So, the degree of freedom =
`n-1=11-1=10`

So,
`t_(10)=3.169`

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

So, the degree of freedom =
`n-1=16-1=15`

So,
`t_(15)=2.602`

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