The temperature reading from a thermocouple placed in a cons

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean mu, the actual temperature of the medium, and standard deviation o. What would the value of sigma have to be to ensure that 99% of all readings are within 0.2 degree of mu?

Solution

As

E = z * sigma

then

sigma = E/z

and for a 99% confidence level,

z = 2.575829304

Thus,

sigma = 0.2 / 2.575829304 = 0.077644897 [ANSWER]