A commuter has two different routes available to drive to work.She wants to test whether route A is faster than route B.The best hypotheses are: A) : - ≥ 0 : - 0 C) : - = 0 : - ≠ 0 D) : -

Question

A commuter has two different routes available to drive to work.She wants to test whether route A is faster than route B.The best hypotheses are:
A) : - ≥ 0 : - < 0 
B) : - ≤ 0 : - > 0 
C) : - = 0 : - ≠ 0 
D) : - < 0 : - ≥ 0

Quizplus · Accepted Answer

The hypotheses in A are appropriate for testing whether one route is faster than the other, with the null hypothesis being that the time difference between the two routes is not greater than zero (i.e., there is no significant difference) and the alternative hypothesis being that the time difference is greater than zero (i.e., route A is faster than route B). The other choices either do not have appropriate hypotheses (B and D) or have hypotheses that do not make sense for testing the speed of different routes (C).

A Commuter Has Two Different Routes Available to Drive to Work.She