22) Suppose you want to test the claim that μ1 > μ2. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of α = 0.10, find the test statistic and determine whether or not to reject H0. (8.1) n1 = 35 n2 = 42 x1 = 33 x2 = 31 s1 = 2.9 s2 = 2.8
A) z = 3.06; Reject H0 and support the claim that μ1 > μ2 B) z = -3.06; Reject H0 and support the claim that μ1 > μ2 C) z = 3.06; Fail to Reject H0 and we do not support the claim that μ1 > μ2 D) z = -3.06; Fail to Reject H0 and we do not support the claim that μ1 > μ2
Given that, the null and alternative hypotheses are,
H0 : μ1 = μ2
Ha : μ1 > μ2
Test statistic is,
p-value = P(Z > 3.06) = 0.0011
Since, p-value = 0.0011 < 0.10, we reject the null hypothesis.
Answer : A) z = 3.06; Reject H0 and support the claim that μ1 > μ2
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