7-1: To compare the results from four patients of interest to a similar baseline

Question

7-1: To compare the results from four patients of interest to a similar baseline test conducted by the Mayo Clinic, you will be required to convert their individual scores to match a normal distribution with a mean of 500 and a standard deviation of 50. [2 points] Patient Local Test Score Mayo Clinic Score 00) 475 800 540 7-2: Looking back at your test results, what percentage of patients do you expect would exceed a raw score of 550? [0.5 points] 7-3: If a score over 600 on the Mayo Clinic test places an individual in the "Danger" zone, what would be the related score on the test conducted at your local clinic? lo.5 points] ZoneLocal Test Score Mayo Clinic Score 600

Explanation / Answer

Z values for

A - (700-625)/75 = +1 New Score=500*50*1=550

B = (475-625 / 75=-2 New Score=500-2*50=400

C = (800-625)/75=2.33 New score=500-2.33*500=383.5

D = (540-625)/75=-85/75=-1.1333 New score= 500-50*1.1333=443.35

7.2) Z=(550-625)/75=-1 P(z>-1) = 0.50+0.34=0.84

7.3) Z= (600-500)/50=2 Local test score= 625+2*75=775

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