Assume the body temperatures of healthy adults are normallydistributed with a me

Question

Assume the body temperatures of healthy adults are normallydistributed with a mean of 98.20 °F and a standard deviation of0.62 °F
Bellevue Hospital in New York City uses 100.6 °F as the lowesttemperature considered to indicate a fever. What percentage ofnormal and healthy adults would be considered to have a fever? Doesthis percentage suggest that a cutoff of 100.6 °F isappropriate? Assume the body temperatures of healthy adults are normallydistributed with a mean of 98.20 °F and a standard deviation of0.62 °F
Bellevue Hospital in New York City uses 100.6 °F as the lowesttemperature considered to indicate a fever. What percentage ofnormal and healthy adults would be considered to have a fever? Doesthis percentage suggest that a cutoff of 100.6 °F isappropriate?

Explanation / Answer

X~Normal(=98.2, =0.62) P(X>100.6)=P((X-)/ > (100.6-98.2)/0.62) =P(Z>3.87) =0.00005 (check normal table)

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