Bottling Company Case Study

1031 Words5 Pages
Strayer University MAT 300
Dr. Soosan Shahrokh
December 12, 2014

Bottling Company Case Study In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant.
The next step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering: =average, the median by:
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14.5 | Mean = | 14.87 | | | | | | | 14.6 | Median = | 14.8 | | | | | | | 14.7 | Standard
Deviation = | 0.541079169 | | | | | | | 14.8 | Margin of
Error = | 0.193619136 | 30 | 5.477226 | 0.098787 | 1.96 | 0.193623 | | 14.9 | Confidence
Interval L.L.= | 14.67638086 | | | | | | | 15.3 | Confidence
Interval U.L.= | 15.06361914 | | | | | | | 14.9 | µ = | 16 | | | | | | | 15.5 | Ho: µ ≥ 16 | | | | | | | | 14.8 | Ha: µ < 16 | | | | | | | | 15.2 | α = .05 | | | | | | | | 15 | Zo = -1.645 | | | | | | | | 15.1 | Ztest statistic | -2.08841897 | | | | | | | 15 | Decision: | Reject the null hypothesis | | | | | | | | | At a .05 level of significance, we reject the null hypothesis. There is enough evidence to support the claim that the bottles contain less than sixteen (16) ounces. | | | | | | |

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 future, daily maintenance and quality checks can insure this error is eliminated.
The second possibility is human error. This can be anything from incorrect programming of the dispensing
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