158k views
15 votes
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.27°F and a standard

deviation of 0.54°F. Using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the mean, or
between 97.73 °F and 98.81°F?

User Funmilayo
by
8.3k points

1 Answer

4 votes

Answer: follow this you'll be able to solve it

Step-by-step explanation: mean = 98.11F

standard deviation = 0.56F

99.79 – 98.11 = 1.68 = 3 standard deviations

96.43 – 98.11 = –1.68 = –3 standard deviations

96.43F and ​99.79F are 3 standard deviations from the mean 98.11F.

By the empirical rule we know that 99.7% of the data lies within 3 standard deviation of the mean.

Approximately 68% of healthy adults in this group have body temperatures within 1 standard of the​ mean, or between 97.55F and 98.67F.

User LucasKarlsson
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories