Question

Identify the t-value given the following. Use the T-table provided in this module.

Confidence Level

Tailed Test

Given

T critical Value

90%

Two - Tailed Test

df = 23

95%

One - Tailed Test

df = 12

99%

Two - Tailed Test

n = 25

90%

One - Tailed Test

n = 11

Answer 1

a. Based on the information provided, the significance level is $\alpha = 0.10,$ $df=23$ and the critical value for a two-tailed test is $t_c =\pm1.713872.$

b. Based on the information provided, the significance level is $\alpha = 0.05,$ $df=12$ and the critical value for an one-tailed test is $t_c =1.782288$

(right-tailed) or  $t_c =-1.782288$(left-tailed).

c. Based on the information provided, the significance level is $\alpha = 0.01,$ $df=25$ and the critical value for a two-tailed test is $t_c =\pm2.787436.$

d. Based on the information provided, the significance level is $\alpha = 0.10,$ $df=11$ and the critical value for an one-tailed test is $t_c =1.36343$

(right-tailed) or  $t_c =-1.36343$(left-tailed).