T-Distribution Table (stats)

Question

Use the​ t-distribution table to find the critical​ value(s) for the indicated alternative​ hypotheses, level of significance alpha​, and sample sizes n 1and n 2. Assume that the samples are​ independent, normal, and random. Answer parts​ (a) and​ (b).

Ha: mu1 > mu2 alpha = .01. n1 = 15 n2 = 8

​(a) Find the critical​ value(s) assuming that the population variances are equal.

Answer 1

> alpha = 0.01

> n1 = 15;n2 = 8

> # one-sided test

> df = min(n1-1, n2-1)

> T = qt(1-alpha,df); here calculator looked up the t-score for p = .99 and degrees of freedom = df = 7

> T

= 2.997952