In a study to determine if the use of cell phones impairs re

In a study to determine if the use of cell phones impairs reaction time while driving, 32 students take a driving skills test two times, once using a cell phone and once not using a cell phone. Reaction times (in milliseconds) are recorded.

What hypotheses would you test to determine if reaction time differs between the two conditions (using cell phone vs. not using cell phone)?

H₀:µ₁ = µ₂

H_a: µ₁   µ₂

H₀: p₁= p₂

H_a: p₁ p₂

H₀:µ₁ = µ₂

H_a: µ₁ > µ₂

H₀:µ_d = 0

H_a: µ_d 0

Solution

since data is paired and alternative hypothesis is non directional, correct option is:

H₀:µ_d = 0

H_a: µ_d 0