Population Variance of Sample Statistics

Use the given sample statisticsto 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.

Please see the attached file.

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 …

Population variance of sample statistics are analyzed in the solution. The solution assumes the samples are random and independent that the populations are approximately normally distributed.