Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the samples have sizes n1=16 and n2=21 .

Respuesta :

Answer:

degrees of freedom = 36

endpoints =2.3391

Step-by-step explanation:

(a) Degrees of Freedom = n1 + n2 - 2 = 16 + 22 - 2 = 36

(b)  For ndf = 36, \alpha = 0.025, Two Tail test:

From Table, critical values of t = 2.3391

So, answers are:

degrees of freedom = 36

endpoints =2.3391