Provide an appropriate response.
-Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if it is at least three standard deviations above or
Below the mean. Round the z-score to one decimal place, if necessary.
A body temperature of 95.8° F given that human body temperatures have a mean of 98.20° F and a
Standard deviation of 0.62°.
A)-2.4; not usual
B)-3.9; not unusual
C)3.9; not unusual
D)-3.9; unusual

Question

Provide an appropriate response.
-Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if it is at least three standard deviations above or
Below the mean. Round the z-score to one decimal place, if necessary.
A body temperature of 95.8° F given that human body temperatures have a mean of 98.20° F and a
Standard deviation of 0.62°. 
A)-2.4; not usual
B)-3.9; not unusual
C)3.9; not unusual
D)-3.9; unusual

Quizplus · Accepted Answer

The z-score is calculated as $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. For a body temperature of 95.8°F, mean of 98.20°F, and standard deviation of 0.62°F, the z-score is $\frac{(95.8 - 98.20)}{0.62} = -3.9$. A z-score of -3.9 indicates the value is more than three standard deviations below the mean, which is considered unusual.

Provide an Appropriate Response