Question

A certain brand of nail polish is supposed to have 5 ounces of nail polish. Because the penalty for underfilling bottles is severe, the target mean amount of nail polish is 5.02 ounces. However, the filling machine is not precise, and the exact amount of nail polish varies from bottle to bottle. The quality control manager wishes to verify that the mean amount of nail polish in each bottle is 5.02 ounces so that he can be sure that the machine is not over- or underfilling. He randomly samples 12 bottle of nail polish and obtains the following data:

5.02	5.01	5.00	5.02	5.01	4.99
5.01	5.02	5.01	5.02	5.01	5.02

Assuming the data comes from a normally distributed population, should the assembly line be shut down so that the machine can be recalibrated? Use the critical value method at the α = 0.01 level of significance.

Answer 1

answered by: anonymous