Bottle Company Case Study

607 words - 3 pages

Bottle Company Case Study
Statistics MAT/300

As Manager of the Harley Bottle Company, I have been receiving complaints from customers on the quantity of product received when purchasing our sixteen ounces soda bottles. These complaints have caused my boss to worry and would like me to investigate the issue at hand. I will begin my investigation by instructing the employees to pull at random 30 bottles from all the shifts at the bottling plant. By pulling random containers from all shifts, I can eliminate the possibility of if being a human error.
To start my investigation I begin by weighing the sample size of 30 bottles. The weight ranges between 14 oz. and 16.1oz., which lets be know there is a problem with our bottling consistence. For more detailed information to complete my investigation I must calculate the Mean, Median, and Standard Deviation of the ...view middle of the document...

5503.
The Harley Bottling Company is very optimistic of is bottling process. I will now construct the Confidence Interval of the ounces in the bottles at a 95%. The Confidence Interval describes the amount of the uncertainty associated with the sample estimate of the population parameter. By using the already discovered the information above I computed the Confidence Interval.
14.673 ≤ μ ≤ 15.067
My next course of action was to complete a hypothesis testing of the data discovered. The hypothesis testing will verify if the claim that a bottle contains less than sixteen (16) ounces is supported. The hypothesis statement we will verify is
H0: µ≥16

H1: µ<16

The test hypothesis will be used to assess the truth of the alternative hypothesis.

Getting the P-value will help determine the significance of the results.
P-Value = P (Z<-11.25) ≈ 0

The results of the P-Value reveals that it is less than α – value 0<0.05 we reject H0 and accept H1.

The conclusion of my finding uncovers the complaints are valid and our bottling of our 16oz bottles is not accurate. By testing a sample of 30 bottles from different shifts eliminated the possibility that it could a human error.
However there could be three possible causes to the error in the bottling.
* The soda in the bottles could have not settled and may still have frizz when the bottle weight was checked.
* The equipment could be out of calibration and maintenance needs to be completed.
* The temperature of the warehouse and temperature of the soda may have cased the weight to be off when filling the bottles.
To fix these problems the company must invest in training for the Quality Assurance (QA) employees; so they would know what to look for. With a QA on each shift it will reduce and possibly eliminate the problem.

References
Thermal process. (2013). Retrieved March 22, 2014, from
https://www.foodpreservationmethods.com
Larson, R., & Farber, B. (2009). Elementary statistics picturing the world. (4th ed.).
Upper Saddle, New Jersey: Prentice Hall.

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