Question

8.2.3 Question Help Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n,. Assume that the samples are independent, normal, and random. Answer parts (a) and (b) H:H *12. a = 0.05, n, = 13, n = 11 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

b) Find the Critical Values assuming that the population variances are not equal.

Answer 1

Ha: Mit M2 x = 0.05 n, 213, ne=1 6,2=50? H is two sided so 2 = 0.025 when population variances are equal, df = - nith2-2 13+11-2 22 Since Hi contain & sign it is two tailed test. There will be two critical values, some in number y one is positive & one is negative. te= to.ozs, 22 To see this value see table of critical values for student's t distribution. In the table see the value corresponding to df = 22 f one tail area = 0.02s ar df = 22 f two tail area = 0.05. - to.ors, 22 - 2.074 Critical values are – 2.074, +2.074. r.e. 12.074

Population variances are not equal. the the sample standard df. The formula In this case we require deviations value to find of df in this case is is 'n = (sima) ni mahl h -1 where su 2 (xi - Eg? 12-1