BACKGROUND (CASE STUDY WRITE UP)
Quality Associates, Inc. is a consulting firm who advises its clients about statistical and sampling methods that can be used to control their manufacturing procedures. In this particular case we consider a production line designed to fill bottles of a shampoo with a mean weight of 12 ounces of shampoo per bottle. Quality Associates, Inc. made a quality control testing of the manufacturing machine of this client (Alibaba Machinery), to determine if the process is operating properly or if, perhaps, a machine malfunction has caused the process to begin underfilling or overfilling the bottles. The client picked a sample of 800 bottles taken during a time when the machine was operating satisfactorily. The sample standard deviation for these data was 0.21; and thus (with so much data) the population standard deviation was assumed to be 0.21. Then Quality Associates recommended that random samples of size 30 should be taken periodically to monitor the machine operation on an ongoing basis. By analyzing the new samples, Alibaba Machinery could quickly learn whether the machine is operating satisfactorily. If the machine is not operating satisfactorily, corrective action can be taken to eliminate the problem. The design specification indicated that the mean weight of the bottles of shampoo should be 12 fluid ounces (fl.oz.).
PROBLEM/ISSUE:
The manufacturing company who created the machine claimed that it has been set such that the mean weight of the bottles of shampoo is 12 fl.oz. Furthermore, the production process has been designed so that each bottle of shampoo is filled independently.
The hypothesis test suggested by Quality Associates is:
Ho: µ = 12
Ha: µ≠12
Corrective action will be taken anytime Ho is rejected.
EXECUTIVE SUMMARY (main findings/issues/assumptions):
(SUMMARY & HIGHLIGHTS OF OUR FINDING) – FOR US TO WORK ON
Data/Facts/Issues?
METHODOLOGY
The quality control