Two sample t-statistic 1 point possible (graded, results hidden) Let . X1 , . . ., Xn - N (10, 07) . Y1 , . .., Ym ~ N (#1, o;) . the Xi's are independent of the Yi's, where Ho, M1, 07, of are unknown parameters. What is the two-sample t-statistic In,m? O ( X n - Ym) (512 + 002 ) / (m+ n) O Xn - Ym Voilm top O Xn - Ym Voi/m top O Xn - Ym Voitop/(m+n) The t-statistic cannot be defined for two samples.Distribution of t-statistic with Small Sample Size 2 points possible [graded results hidden) Continuing with the setup as above, suppose the data you collected are summarized as follows: . Sample sizes: n = m = 5; . Sample means: in = 12,171,\" = 1.0; .--.. . Sample variances: (:2 = 6% = 0.5. ,_. Which of the following distributions best approximates the distribution of the t-statistic T=5m=5 under the null hypothesis Ho :an = #1? 0 Normal distribution with mean ,u 75 I] 0 Standard normal distribution 0 t-distribution O F-distribution If applicable, specify the degrees of freedom of the distribution above lie. the distribution that best approximates the distribution of the t-statistic}. If not applicable, enter 1. Degrees of freedom