Answer :
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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