A computer company wishes to install a fan that cools the equipment so that the temperature of the mother-board does not exceed a 115°F. A company inspector wishes to test the design of the computer fan. It chooses at random 36 computers. If the computers are found to perform well, they are placed in the market, if they are found not to perform well, then the fans are redesigned.
a) Write the null and alternative hypothesis.
b) According to the described problem, explain in your own words what it would mean to incur in a type I error. What is the consequence of incurring in a type I error?
c) According to the described problem, explain in your own words what it would mean to incur in a type II error. What is the consequence of incurring in a type II error?