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sdas [7]
3 years ago
9

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Convert 103

.00 degrees Fahrenheit to a z-score and determine if it is usual of unusual. Unusual means that the z-score is more than 2 standard deviations below or above the mean.
Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0

Answer:

<em>z-score will be:  7.741....  and it will be unusual. </em>

Step-by-step explanation:

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.

So here,  \mu= 98.20 and \sigma= 0.62

<u>Formula for z-score</u> is:   z= \frac{X-\mu}{\sigma}

Thus, the z-score for 103.00 degrees Fahrenheit will be.......

z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...

As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.

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