Answer to Question #150592 in Statistics and Probability for Vladimyr Lubin

Question

(6.1.39) Assume that the readings on the thermometers are normally distributed with a mean of 0 and standard deviation of 1.00C. Assume ​2.7% of the thermometers are rejected because they have readings that are too high and another 2.7​% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
The cutoff values are ? degrees.

Answer 1

P(Z<-1.93) = 0.027

Cutoff = -1.93

P(Z>1.93) = 0.027

Cutoff = 1.93

Answer: ±1.93