The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°F. Using the empirical rule, findeach approximate percentage belowa. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.77F and 99.89°F?b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F?a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F.(Type an integer or a decimal. Do not round.)

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Asked Jun 6, 2019
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°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 96.77F and 99.89°F?
b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F?
a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F.
(Type an integer or a decimal. Do not round.)
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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.33°F and a standard deviation of 0.52°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 96.77F and 99.89°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.29°F and 99.37°F? a. Approximately% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.77°F and 99.89°F. (Type an integer or a decimal. Do not round.)

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Step 1

According to the empirical rule, in the standard normal curve, approximately 68% of the area is within 1 standard deviation about the mean, 95% of the area is within 2 standard deviations and 99.7% area within 3 standard deviations about the mean.

 

Let X be the body temperatures of the group of healthy adults, which follows normal distribution with mean = 98.33oF and standard deviation = 0.52oF.

Step 2

a.

According to empirical rule stated above, the percentage of healthy adults with body tempera...

P(96.77 <X <99.89) = 99.7%
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P(96.77 <X <99.89) = 99.7%

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