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A model for a single measurement of blood pressure is: Y=t+6+ R; , where Ri ~ G(0, o) where trepresents the true value of the

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A model for a single measurement of blood pressure is: Y=t+6+ R; , where Ri ~ G(0, o) where trepresents the true value of the blood pressure and & represents any measurement bias. From previous work, it is known that $ = 2 and o = 3. Based on the model, find the probability that Yi will be within 4 units of t (above or below). ii Suppose that it is recommended that four measurements be taken, and the four measurements be averaged to get a more precise measure of blood pressure. Using the above model, assuming t remains unchanged (likely not a great assumption with blood pressure, but we will assume this anyway), find the probability that the mean of the sample of four measurements will be within 4 units of t (above or below)

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