Math Problem Statement

A survey was conducted of STAT 206 students and they were asked their height in inches. The mean of the sample was 69.76 inches. The standard deviation of the sample was 3.8 inches. What is your height in inches as a whole number?

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Normal Distribution

Formulas

Z-Score Formula: z = (X - μ) / σ

Theorems

68-95-99.7 Rule (Empirical Rule)
Central Limit Theorem

Suitable Grade Level

Undergraduate (Introductory Statistics)