Question

1. Does the Chicago airport handle more flights than the Atlanta airport? Select the correct hypothesis

a. Ho: μ1 – μ2 ≥ 0 ; Ha: μ1 – μ2 ≤ 0

b. Ho: μ1 – μ2 < 0 ; Ha: μ1 – μ2 > 0

c. Ho: μ1 – μ2 ≤ 0 ; Ha: μ1 – μ2 > 0

d. Ho: μ1 – μ2 = 0 ; Ha: μ1 – μ2 ≠ 0

Answer 1

Answer: c. Ho: μ1 – μ2 ≤ 0 ; Ha: μ1 – μ2 > 0

Explanation:

Let μ1 is average flights handled by Chicago airport and  μ2 is average flights handled by Atlanta airport.

we have to check  Does the Chicago airport handle more flights than the Atlanta airport, Hence our alternative hypothesis will be μ1 > μ2 (i.e Ha: μ1 – μ2 > 0 ). Therefore null hypothesis will be H0: μ1 – μ2 ≤ 0 , because null hypothesis required to have equality sign.(i.e ≤).

Option a and d having wrong alternative (i.e not >). And in option b null hypothesis is wrong ( i.e no equality )