The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.24°F and a standard deviation of 0.55°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.59°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.69°F and 98.79°F? a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.59°F and 99.89°F. (Type an integer or a decimal. Do not round.) b. Approximately % of healthy adults in this group have body temperatures between 97.69°F and 98.79°F. (Type an integer or a decimal. Do not round.)
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.24°F and a standard deviation of 0.55°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.59°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.69°F and 98.79°F? a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.59°F and 99.89°F. (Type an integer or a decimal. Do not round.) b. Approximately % of healthy adults in this group have body temperatures between 97.69°F and 98.79°F. (Type an integer or a decimal. Do not round.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:This educational content focuses on the body temperatures of a group of healthy adults, which follow a bell-shaped distribution. The mean body temperature is 98.24°F and the standard deviation is 0.55°F. We use the empirical rule to estimate certain percentages:
a. What percentage of healthy adults have body temperatures within 3 standard deviations of the mean (i.e., between 96.59°F and 99.89°F)?
b. What percentage of healthy adults have body temperatures between 97.69°F and 98.79°F?
The questions require understanding and applying the empirical rule, also known as the 68-95-99.7 rule, which suggests that for a normal distribution:
- Approximately 68% of the data lies within 1 standard deviation of the mean.
- Approximately 95% is within 2 standard deviations.
- Approximately 99.7% is within 3 standard deviations.
For this exercise, the answers should be typed as integers or decimals without rounding, indicating the exact percentage found using the empirical rule.
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