Math Problem Statement

Find the bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are : a ) significantly high ( or at least 2 standard deviations above the mean. )

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Standard Deviation
Z-Scores
Probability

Formulas

P(Z ≥ 2) = 1 - P(Z ≤ 2)
P(Z ≤ 2) from Z-table

Theorems

Empirical Rule
Standard Normal Distribution

Suitable Grade Level

Grades 9-12