Question

For Chapter 2 through Chapter 14, the Cumulative Review Exercises include topics from preceding chapters. For this chapter, we present a few calculator warm-up exercises, with expressions similar to those found throughout this book. Use your calculator to find the indicated values.

Body Temperature The given expression is used for determining the likelihood that the average (mean) human body temperature is different from the value of 98.6oF that is commonly used. Find the given value and round the result to two decimal places.

Short answer

The probability that the average value of body temperature (in degrees Fahrenheit) is different from 98.6 degrees Fahrenheit is equal to - 6.64.

Step-by-step solution

Given information

The commonly used value of human body temperature (in degrees Fahrenheit) is equal to 98.6.

To calculate the likelihood of the mean temperature value to be different from the commonly used value, the following expression is used:

\(\frac{{98.2 - 98.6}}{{\frac{{0.62}}{{\sqrt {106} }}}}\)

Determining the likelihood value

The probability that the average value of body temperature is different from the value of 98.6 degrees Fahrenheit is as calculated below:

\(\begin{aligned}{c}\frac{{98.2 - 98.6}}{{\frac{{0.62}}{{\sqrt {106} }}}} = \frac{{\left( { - 0.4} \right)}}{{0.06021}}\\ = - 6.642342\\ \approx - 6.64\end{aligned}\)

Thus, the probability that the average value of body temperature is different from the value of 98.6 degrees Fahrenheit is equal to \( - 6.64\).