Math Problem Statement

The quality control inspector of a factory manufacturing screws found that the samples of screws are normally distributed with a mean length of 5.5 cm and a standard deviation of 0.1 cm.

If the distribution is normal, what percent of data lies between 5.3 centimeters and 5.7 centimeters?

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-Scores

Formulas

z = (x - μ) / σ
Percentage = Area under normal distribution curve between two z-scores

Theorems

Empirical Rule of Normal Distribution

Suitable Grade Level

Grades 10-12