Question

Assume that the readings at freezing on a batch of thermometers are Normally distributed with mean 0°C and standard deviation 1.00°C. Find the temperatures that make up the middle 80% of all temperature readings.

from _____ C to _______ C round to 2 places

Answer 1

given, Here, X tildeN(0,1) Therefore P(- a lessthan z lessthan a) = 0.8 from above graph P(z lessthan - a) = 0.1 Therefore, from Normal table -a = - 1.28 a = 1.28 Therefore 80% temp falls within (- 1.28, 1.28)