Use the given sample statistics to test the claim about the difference between two population means μ1 and μ2 at the given level of significance α. Assume the samples are random and independent and that the populations are approximately normally distributed, and that the population variances are unequal.
Claim: μ1 ≥ μ2, α = 0.1. Sample statistics:
x1 (bar) = 520, s1 = 25, n1 = 7
x2 (bar) = 500, s2= 55, n2 = 6
Population variance of sample statistics are analyzed. The solution assumes the samples are random and independent that the populations are approximately normally distributed.