The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ- standard deviation
The z-score for ted will be:
x=185.82
μ=186.37
σ=0.323
thus
z=(186.37-185.82)/0.323=1.70
The z-score for Karen:
x=112.25
μ=112.6
σ=0.141
hence:
z=(112.25-112.6)/0.141=-2.48
Comparing the two z-score, we conclude that Ted had a convincing win because he has not deviated so much from the win.
