Suppose we want to observe the woman over n visits, where n is sufficiently large so that

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Suppose we want to observe the woman over n visits, where n is sufficiently large so that there is less than a 5% chance that her observed mean SBP will not differ from her true mean SBP by more than 5 mm Hg. What is the smallest value of n to achieve this goal? (Note: Assume two readings per visit.) 


Hypertension

Blood pressure readings are known to be highly variable. Suppose we have mean SBP for one individual over n visits with k readings per visit (X̅ n,k). The variability of (X̅ n,k) depends on n and k and is given by the formula σw2 = σA2/n + σ2/(nk), where σA2 = between visit variability and σ2 = within visit variability. For 30- to 49-year-old Caucasian females, σA2 = 42.9 and σ2 = 12.8. For one individual, we also assume that X̅ n,k is normally distributed about their true long-term mean = μ with variance = σw2.

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