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Battling Company Case Study

859 words - 4 pages

Bottling Company Case Study
Vincent Bacon
Dr. Pamela Self
MAT 300 Statistics

December 14, 2013

Bottling Company Case Study

Calculate the mean, median, and standard deviation for ounces in the bottles.
To determine the mean, which is the statistical average of all numbers involved, we will add the number of ounces together and divide by the number of bottles, in this case 30. For the mean we get 446.1 / 30, for a mean of 14.9. The median, however, is the ‘middle’ number of the bottles ounces. Since we have an even number, it will be the average of the two middle numbers, which will give us a better perspective of the average than just the mean will. In this case ...view middle of the document...

In this case the null hypothesis is there ARE sixteen ounces in each bottle. The alternate hypothesis is that there are NOT sixteen ounces per bottle. In order to understand the outcome of this hypothesis, we will analyze the data set and our projections in the previous questions to answer them.
Analyzing the data from above, we have a mean of 14.9 and a standard deviation of 0.55. When we add one standard deviation to the mean, we still do not get to sixteen (16) ounces, but compute it to be 15.45 ounces. It is clear from this calculation that the null hypothesis is incorrect and has been disproven, indicating that the alternate hypothesis is in fact the correct assessment.

Provide the following discussion based on the conclusion of your test: 
If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.
Since it has been proven that there are in fact less than sixteen (16) ounces in well over half of the samples, we will speculate on causes since there was no data to provide clear reasons why.
The first possible cause is equipment failure. Perhaps the dispensing machine is misaligned to read 16 ounces even though it is less. This could be the easiest to identify as the dispensing apparatus can be tested and adjusted with minimal effort and downtime. To prevent this in the...

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