Question

find the critical value (or values) for the t test for each. a. n = 12, a = 0.01, left tailed, b. n = 16, a = 0.05, right tailed, c. n = 7, a = 0.10, two tailed, d. n - 11, a - 0.025, right tailed, e. n = 10, a = 0.05, two tailed

Answer 1

Solution:

Given that,

a ) n = 12

Degrees of freedom = df = n - 1 = 12 - 1 = 11

= 0.01

t _,df = t_0.01,11 = 2.718

The critical value left tailed = - 2.718

b ) n = 16

Degrees of freedom = df = n - 1 = 16 - 1 = 15

= 0.05

t _,df = t_0.05,15 = 1.753

The critical value right tailed = 1.753

c ) n = 7

Degrees of freedom = df = n - 1 = 7 - 1 = 6

= 0.10

= 0.10 / 2 = 0.05

t _,df = t_0.05,6 = 1.943

The critical value two tailed = 1.943

d ) n = 11

Degrees of freedom = df = n - 1 = 11 - 1 = 10

= 0.025

t _,df = t_0.025,10 = 2.228

The critical value right tailed = 2.228

e ) n = 10

Degrees of freedom = df = n - 1 = 10 - 1 = 9

= 0.05

= 0.05 / 2 = 0.025

t _,df = t_0.025,9 = 2.262

The critical value two tailed = 2.262