You have an SRS of size 22 and calculate the one-sample t statistic. What is the critical value t∗ such that (a) t has probability 0.05 to the right of t∗? (b) t has probability 0.8 to the left of t∗?

Respuesta :

Answer: (a)  1.721   (b) -0.859074

Step-by-step explanation:

Given : Sample size : n=22

Degree of freedom = [tex]n-1=22-1=21[/tex]

Significance level : [tex]\alpha=0.05[/tex]

(a) By using t-test distribution table, the critical value for  t has probability 0.05 to the right of t:-

[tex]t_{n-1,\alpha}=t_{21,0.05}=1.721[/tex]

(b) Similarly, for t has probability 0.8 to the left of t :-

[tex]t_{n-1,\alpha}=t_{21,0.8}=-0.859074[/tex]