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
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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.
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.
Expert Solution
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Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%Given,Mean(μ)=98.240 Fstandard deviation(σ)=0.550F

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