Question

If the temperature at which a certain compound melts is a random variable with mean value 135°C and standard deviation 3°C, what are the mean temperature and standard deviation measured in °F? [Hint: °F = 1.8°C + 32.]

Answer 1

Answer:

The mean in ºF is of 275 and the standard deviation is of 37.4.

Step-by-step explanation:

We apply the conversion formula for both measures, the mean and the standard deviation.

Mean value 135°C

In ºF:

$F = 1.8(135) + 32 = 275$

Standard deviation 3°C:

In ºF:

$F = 1.8(3) + 32 = 37.4$

The mean in ºF is of 275 and the standard deviation is of 37.4.