Math Problem Statement

give me only the asnwer

The distribution of body temperature for healthy adults is approximately normal with mean 98.2°F and standard deviation 0.7°F. Based on the description of the distribution, which of the following statements CANNOT be supported? A) More than 95% of healthy adults have a body temperature greater than 96.8°F. B) The first quartile of the distribution of healthy adults' body temperature is less than 97.5°F. C) Approximately 50% of healthy adults have a body temperature greater than 98.2°F. D) Approximately 95% of healthy adults have a body temperature between 96.8°F and 99.6°F. E) A body temperature of 100.3°F or more would occur in less than 2% of healthy adults.

Solution

The correct answer is:

A. More than 95% of healthy adults have a body temperature greater than 96.8°F.

This statement cannot be supported because, with a normal distribution centered around 98.2°F, only a smaller percentage would fall significantly below this mean.

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Math Problem Analysis

Mathematical Concepts

Normal Distribution
Mean and Standard Deviation
Percentiles
Probability

Formulas

68-95-99.7 rule for normal distribution
z-score formula: z = (X - μ) / σ

Theorems

Empirical Rule

Suitable Grade Level

Grades 10-12