A study was conducted assessing the effect of observer training on measurement o

Question

A study was conducted assessing the effect of observer training on measurement of blood pressure based on NHANES data from 1999–2000 (Ostchega, et al., [1]). A goal was that the difference in recorded blood pressure between the observer and trainer be 2 mm Hg in absolute value. It was reported that the mean difference in systolic blood pressure (SBP) between observers and trainers (i.e., mean observer SBP minus trainer SBP) = mean () was 0.189 mm Hg with sd = 2.428 mm Hg.

5.10 If we assume that the distribution of is normally distributed, then what % of (observer, trainer) pairs have a mean difference of 2 mm Hg in absolute value (i.e., either 2 mm Hg or 2 mm Hg)?

Explanation / Answer

Ans:

Given that

mean () =0.189 mm Hg

sd = 2.428 mm Hg

So,

z=(2-0.189)/2.428=0.75

P(z<-0.75 or z>0.75)=2*P(z<-0.75)=2*0.2266=0.4532

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