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In Exercises 33鈥36, use the range rule of thumb to identify the limits separating values that are significantly low or significantly high

Body Temperatures Based on Data Set 3 鈥淏ody Temperatures鈥 in Appendix B, body temperatures of adults have a mean of 98.20掳F and a standard deviation of 0.62掳F. (The data from 12 AM on day 2 are used.) Is an adult body temperature of 100oF significantly low or significantly high?

Short Answer

Expert verified

The lower limit for body temperatures is given by96.96F, and the upper limit is given by99.44F.

The adult body temperature of 100F is significantly high.

Step by step solution

01

Given information

A set of 107 body temperatures of adults are recorded in degrees Fahrenheit.

The mean adult temperature is equal to 98.20F.

The standard deviation of the adult temperature is equal to 0.62F

02

Identifying the limits 

Considering the mean value and the standard deviation , the following are the three conventions under the range rule of thumb that are applied to distinguish significant values.

  • Observations equal to and beyond +2 are significantly high.
  • Observations equal to and lower than-2 are significantly low.
  • Between these two limits lie all the insignificant observations.

The calculations are done as follows:

Lower limit:

-2=98.20-20.62=98.20-1.24=96.96

.

Upper limit:

+2=98.20+20.62=98.20+1.24=99.44

Therefore, the limits are obtained as 96.96F,99.44F.

03

Checking for significance

As the value of the adult body temperature equal to 100Fis beyond the upper limit of 99.44F, the value of 100Fissignificantly high.

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