Math Problem Statement

A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed, if the family had a z-score of 1.5, what was their daily expense for food and lodging? 

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-Score

Formulas

Z = (X - μ) / σ
X = Z * σ + μ

Theorems

68-95-99.7 Rule

Suitable Grade Level

Grades 10-12