Question

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0 HA: μ1 − μ2 < 0 x−1 x − 1 = 222 x−2 x − 2 = 253 s1 = 32 s2 = 26 n1 = 12 n2 = 12 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.).

Answer 1