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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.51°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 96.83°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.34°F and 99.38°F? Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.83°F and 99.89°F. Type an integer or a decimal. Do not round) Approximately % of healthy adults in this group have body temperatures between 97.34°F and 99.38°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 98.36°F and a standard deviation of 0.51°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 96.83°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.34°F and 99.38°F? Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.83°F and 99.89°F. Type an integer or a decimal. Do not round) Approximately % of healthy adults in this group have body temperatures between 97.34°F and 99.38°F. Type an integer or a decimal. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.51°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 96.83°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.34°F and 99.38°F? a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.83°F and 99.89°E. (Type an integer or a decimal. Do not round.) b. Approximately % of healthy adults in this group have body temperatures between 97.34°F and 99.38°F. (Type an integer or a decimal. Do not round.)
Transcribed Image Text:The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.51°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 96.83°F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.34°F and 99.38°F? a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.83°F and 99.89°E. (Type an integer or a decimal. Do not round.) b. Approximately % of healthy adults in this group have body temperatures between 97.34°F and 99.38°F. (Type an integer or a decimal. Do not round.)
Expert Solution
Step 1

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)=98.36standard deviation(σ)=0.51

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