"Normal" body temperature varies by time of day. A series of readings was taken of the body temperature of a subject. The mean reading was found to be 36.5° C with a standard deviation of 0.3° C. When converted to °F, the mean and standard deviation are (°F = °C(1.8) + 32).

A. 97.7, 32
B. 97.7, 0.30
C. 97.7, 0.54
D. 97.7, 0.97
E. 97.7, 1.80

Question

12-11-2023
Physics

High School

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"Normal" body temperature varies by time of day. A series of readings was taken of the body temperature of a subject. The mean reading was found to be 36.5° C with a standard deviation of 0.3° C. When converted to °F, the mean and standard deviation are (°F = °C(1.8) + 32).

A. 97.7, 32
B. 97.7, 0.30
C. 97.7, 0.54
D. 97.7, 0.97
E. 97.7, 1.80

Answer :

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Final answer:

The mean and standard deviation, when converted to Fahrenheit, are 97.7°F and 0.54°F respectively.

Explanation:

The subject of this question is temperature. The question presents a series of temperature readings taken from a subject and asks for the mean and standard deviation when converted from Celsius to Fahrenheit. To convert Celsius to Fahrenheit, you can use the formula °F = °C(1.8) + 32. Given that the mean reading is 36.5°C with a standard deviation of 0.3°C, we can use the formula to calculate the mean and standard deviation in Fahrenheit.

The mean in Fahrenheit can be calculated as:

Mean (°F) = Mean (°C) * 1.8 + 32

Substituting the given mean of 36.5°C:

Mean (°F) = 36.5°C * 1.8 + 32 = 97.7°F

The standard deviation in Fahrenheit can be calculated similarly:

Standard Deviation (°F) = Standard Deviation (°C) * 1.8

Substituting the given standard deviation of 0.3°C:

Standard Deviation (°F) = 0.3°C * 1.8 = 0.54°F

Therefore, the mean and standard deviation, when converted to Fahrenheit, are 97.7°F and 0.54°F respectively.

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