Math Problem Statement
Problem # 2 (12.5 pts). For women aged 18-24, systolic blood pressure (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on data from the National Health Survey). Hypertension is commonly defined as a systolic blood pressure above 140. (Draw the bell curve).
a) If a sample of 40 women is selected in that age bracket is randomly selected, find the probability that their mean systolic blood pressure is between 139 and 140. (Draw the bell curve).
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Sampling Distribution
Standard Error of the Mean
Z-score
Formulas
Standard Error of the Mean (SEM) = σ / √n
Z-score: Z = (X - μ) / SEM
Theorems
Central Limit Theorem
Suitable Grade Level
Advanced College
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