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The mean cholesterol level in children is 180 mg/dL with standard deviation 39 mg/dL. Assume this level varies from child to child according to an
The mean cholesterol level in children is 180 mg/dL with standard deviation 39 mg/dL. Assume this level varies from child to child according to an approximate normal distribution. a. What percentage of children has a cholesterol level above 210 mg/dL? (3 pts.) Z - score = Area = Answer = b. What percentage of children has a cholesterol level below 150 mg/dL? (3 pts.) Z - score = Area = Answer - c. What percentage of children has a cholesterol level between 170 mg/dL and 185 mg/dL. (5 pts.) Smaller Z - score = Larger Z- score = Smaller Area - Larger Area = Answer = d. How high are the levels for the highest (top) 2.8% of all children? (2 pts.) Z -score = Answer = e. Find the maximum level for the bottom 4.8% of all children. (2 pts.) Z - score - Answer - f. Find the levels in the middle 60% of the distribution. In other words, find the levels in the top 20% and the bottom 20% of all children. (4 pts.) Top 20% Z - score = Answer - Bottom 20% 4 - score
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