Question

Question We are doing a two-mean pooled t-test. We have two samples with sizes n = 13 and n2 = 24. The population standard deviations are unknown but assumed to be equal, so we find the sample standard deviations and use them to calculate a pooled standard deviation, Sp- • For sample 1: S1 = 9.4 and 1 = 47 • For sample 2: s2 = 8.7 and iz = 44 What are the test statistic (I) and the degrees of freedom to perform this test? Select the correct answer below:

Answer 1

$S_p=\sqrt{\frac{(n_1-1)*s_1^2+(n_2-1)*s_2^2}{n_1+n_2-2}}$

$=\sqrt{\frac{(13-1)*9.4^2+(14-1)*8.7^2}{13+14-2}}$

= 8.946

Option-5) If Sp = 8.946, then t $=\frac{47-44}{8.946*\sqrt{1/13+1/24}}=0.97$

df = 35