In: Statistics and Probability
You’re developing a foam insulation product that expands after application. You want the final (after expansion) height of the insulation to be more than 175 mm. You performed an experiment of spraying the insulation on 10 different surfaces (in a similar manner on similar surfaces), and you recorded the following insulation heights. 171.9 186.2 195.6 164.6 147.8 155.4 191.5 201.2 171.4 201.1
b. Find the probability of type II error if the true mean height is 185 mm.
c. Find the probability of type II error if the true mean height is 195 mm.
d. Discuss how and why the probability of type II error changes.