Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling operations at her warehouses.Her goal is 100% of orders shipped within 24 hours.In previous years, neither warehouse has achieved the goal, but the East Coast Warehouse has consistently out-performed the West Coast Warehouse.Her staff randomly selected 200 orders from the West Coast Warehouse (population 1)and 400 orders from the East Coast Warehouse (population 2), and reports that 190 of the West Coast Orders were shipped within 24 hours, and the East Coast Warehouse shipped 372 orders within 24 hours.Maureen's null hypothesis is ____. A)p₁ - p₂ = 0 B)$\mu$₁ - $\mu$₂ = 0 C)p₁ - p₂ ≥ 0 D)$\mu$₁ - $\mu$₂ ≤ 0 E)$\mu$₁ - $\mu$₂ ≥ 0

Question

Quizplus · Accepted Answer

The null hypothesis in statistical tests typically assumes no effect or no difference between groups. In this context, it would state that there is no difference in the proportion of orders shipped within 24 hours between the West Coast Warehouse and the East Coast Warehouse. Therefore, the correct null hypothesis is that the difference between the proportions (or means, if the symbols were intended to represent means) of orders shipped within 24 hours by the two warehouses is equal to zero. Choices involving inequalities (≥, ≤) are typically used for alternative hypotheses, not null hypotheses. The symbols in the choices seem to be incorrectly formatted or represent a coding error, but choice A conceptually fits the description of a null hypothesis stating no difference.

Maureen McIlvoy, Owner and CEO of a Mail Order Business μ\muμ

Maureen McIlvoy, Owner and CEO of a Mail Order Business $\mu$