Question

A dean wants to assess whether travel expenses claimed by members of different departments are significantly different. Having identified two departments that appear to show rather different reimbursement claims, data for these departments over the last calendar year is assessed. Assuming that population expenses are approximately normally distributed, and that population variances are unequal, test whether department A’s claims are significantly higher than department B’s claims, at the 5% significance level.

Individual claims, Department A: 156.67, 169.81, 130.74, 158.86, 146.81, 143.69, 155.38, 170.74, 147.28, 157.58, 179.89, 140.67, 154.78, and 154.86.

Individual claims, Department B: 108.21, 142.68, 135.92, 109.10, 110.93, 132.91, 127.16, and 124.94.

Answer 1